Forced expiratory volume in 1 second (FEV1)/forced vital capacity (FVC) > 60% by pulmonary function test (PFT), unless due to large mediastinal mass from Hodgkin lymphoma (HL) Patients with Adequate Physical Function as Measured by: a. Cardiac: Left ventricular ejection fraction at rest must be greater than or equal to 40%, or shortening fraction less than 25%; b. Hepatic: Bilirubin less than or equal to 2.5 mg/dL, except for patients with Gilbert's syndrome or hemolysis. Alanine aminotransferase (ALT), aspartate aminotransferase (AST), and Alkaline Phosphatase less than 5 x upper limit of normal; c. Renal: Serum creatinine within normal range, or if serum creatinine outside normal range, then renal function (measured or estimated creatinine clearance or GFR)greater than 40 mL/min/1.73m^; d. Pulmonary: Diffusing capacity of the lung for carbon monoxide (DLCO) (corrected for hemoglobin), forced expiratory volume in one second (FEV1), and forced vital capacity (FVC) greater than 50% predicted; TREATMENT INCLUSION: Adequate pulmonary function with forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) and diffusion capacity of the lung for carbon monoxide (DLCO) ? 50% of expected corrected for hemoglobin Forced expiratory volume in 1 second (FEV1)/forced vital capacity (FVC) >= 50% predicted Pulmonary function tests (spirometry) demonstrating forced expiratory value (FEV) 1 greater than 65% predicted or forced vital capacity (FVC) greater than 65% of predicted. Subjects must have had recent pulmonary function test (PFT) measured for at least 3 months prior to study enrollment that show:\r\n* A decrease in % forced vital capacity (FVC) and/or % forced expiratory volume in 1 second (FEV1) ? 20% at screening compared with pre-transplant baseline\r\n* Lack of bronchodilator response on PFT testing < 12% change and < 200 ml change in FEV1 and/or FVC If pulmonary function tests (PFTs) are performed, the forced expiratory volume 1 (FEV1)/forced vital capacity (FVC) must be greater than 60% Diffusion capacity of the lung for carbon monoxide (DLCO), forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) > 50% predicted Patients with moderate to severe lung disease including: \r\n* Patients requiring oxygen (O2) supplementation\r\n* Patients unable to walk 50 feet without stopping to rest\r\n** Obstructive lung disease as defined by pre-transplant forced expiratory volume in one second (FEV1) =< 60% of predicted\r\n** Restrictive lung disease as defined by pre-transplant forced vital capacity (FVC) < 60% of predicted Adequate pulmonary function with forced expiratory volume in one second (FEV1), forced vital capacity (FVC) and diffusion lung capacity (DLCO) (corrected for hemoglobin [Hgb]) >= 50% of the predicted value Patients with pulmonary function test abnormalities as evidenced by a forced expiratory volume in 1 second to forced vital capacity ratio measurement (FEV1/FVC) < 70% of predicted for normality will be excluded Carbon monoxide diffusing capability (DLCO) (corrected for hemoglobin), forced expiratory volume in 1 second (FEV1) and forced vital capacity (FVC) > 50% predicted Diffusing capacity of the lungs for carbon monoxide (DLCO), forced expiratory volume 1 (FEV1), forced vital capacity (FVC) > 40% predicted, and absence of oxygen (O2) requirements; for children that are not able to cooperate with pulmonary function tests (PFTs), a pulse oximetry with exercise should be attempted; if nether test can be obtained it should be clearly stated in the provider’s note Adequate pulmonary function with forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) and diffusion capacity of the lung for carbon monoxide (DLCO) >= 50% of expected corrected for hemoglobin and/or volume; children unable to perform pulmonary function tests (e.g., less than 7 years old) pulse oximetry of >= 92% on room air For patients >= 8 years of age (or otherwise able to complete pulmonary function testing per established American Thoracic Society standards), diffusing capacity of the lungs for carbon monoxide (DLCO) (corrected/adjusted for hemoglobin) > 40% and forced expiratory volume in one second (FEV1) > 50% predicted (without administration of bronchodilator) and forced volume vital capacity (FVC) > 50% predicted Adjusted diffusion capacity of the lung for carbon monoxide (DLCO), forced expiratory volume in 1 second (FEV1), and forced vital capacity (FVC) >= 50% of predicted value (corrected for hemoglobin) Diffusing capacity of the lungs for carbon monoxide (DLCO), forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) >= 40% predicted, and absence of oxygen (O2) requirements; for children that are not able to cooperate with pulmonary function tests (PFTs), a pulse oximetry with exercise should be attempted; if neither test can be obtained it should be clearly stated in the physician’s note Patients who have a significant history of pulmonary disease that necessitates the use of supplemental oxygen, is associated with dyspnea on walking one block or less, or requires inhaler therapy more than once per week will be required to undergo pulmonary function testing within 6 months of screening and will be excluded if forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC), or diffusing capacity of the lungs for carbon monoxide (DLCO) is less than 65% of predicted Forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) and corrected diffusing capacity of the lungs for carbon monoxide (DLCO) >= 40% Adequate pulmonary function as defined by forced vital capacity (FVC) and diffusing capacity of the lung for carbon monoxide (DLCO) >= 50% of predicted by pulmonary function testing Adequate pulmonary function with forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) and diffusion capacity of the lung for carbon monoxide (DLCO) >= 50% of expected corrected for hemoglobin and/or volume Pulmonary function tests (forced expiratory volume in 1 second [FEV1] > 65% or forced vital capacity [FVC] > 65% of predicted) within 1 month of lymphodepletion Diffusing lung capacity for carbon monoxide (DLCO), forced expiratory volume in one second (FEV1), forced vital capacity (FVC) > 50%; DLCO should be corrected for hemoglobin Forced vital capacity (FVC), forced expiratory volume in 1 second (FEV1) and diffusion capacity of the lung for carbon monoxide (DLCO) (corrected) should be 50% or above of expected Pulmonary function tests (forced expiratory volume in 1 second [FEV1], forced vital capacity [FVC], carbon monoxide diffusing capability [DLCO] >= 40% Pulmonary function with forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) and diffusing capacity of the lungs for carbon monoxide (DLCO) at least 45% of expected corrected for hemoglobin; children unable to perform pulmonary functions must have an oxygen saturation greater than 92% at room air The following pulmonary function tests (PFT) values in baseline:\r\n* Forced expiratory volume in one second (FEV1) > 80% predicted\r\n* FEV1/forced vital capacity (FVC) > 80%\r\n* Residual volume (RV)/total lung capacity (TLV) >= 80% Adequate pulmonary reserve defined as adequate airflow defined by a measured forced expiratory volume (FEV1) not less than 50% of the predicted value and adequate pulmonary reserve as evidenced by a FEV1/forced vital capacity (FVC) ratio of 65% or greater Pulmonary function tests (forced expiratory volume in one second [FEV1] > 65% or forced vital capacity [FVC] > 65% of predicted) within 6 months of lymphodepletion (Turnstile II) Forced expiratory volume in one second (FEV1), forced vital capacity (FVC) and diffusing capacity of the lung for carbon monoxide (DLCO) >= 40% within 3 months of study entry (or within 1 month if received chemotherapy within the past 3 months) Patients must have forced expiratory volume in 1 second (FEV1)/forced vital capacity (FVC) > 60% by pulmonary function test (PFT), unless due to large mediastinal mass from HL; carbon monoxide diffusion capacity (DLCO), FEV1, and FVC all > 50% predicted value; all pulmonary function tests must be obtained within one month prior to registration Forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC), diffusion capacity of the lung for carbon monoxide (DLCO) > 50% predicted (corrected for hemoglobin); if unable to perform pulmonary function tests, then oxygen (O2) saturation > 92% on room air Adequate pulmonary function with forced expiratory volume in one second (FEV1), forced vital capacity (FVC) and diffusing capacity of the lung for carbon monoxide (DLCO) >= 50% of expected corrected for hemoglobin; exceptions may be allowed for patients with pulmonary involvement after discussing with Principal Investigator (PI) Forced expiratory volume in one second (FEV1), forced vital capacity (FVC), diffusion capacity of carbon monoxide (DLCO) (diffusion capacity) >= 40% predicted (corrected for hemoglobin); if unable to perform pulmonary function tests, then oxygen (O2) saturation > 92% on room air Forced expiratory volume in one second (FEV1) and forced vital capacity (FVC) < 40% predicted Pulmonary function tests (forced expiratory volume in one second [FEV1] > 65% or forced vital capacity [FVC] > 65% of predicted) within 6 months of lymphodepletion (Turnstile II - Chemotherapy/Cell Infusion - Inclusion Criteria) Forced expiratory volume in 1 second (FEV1) and forced vital capacity (FVC) >= 65% of predicted (patients >= 40 years old) Pulmonary function: diffusing capacity of the lungs for carbon monoxide (DLCO), forced expiratory volume in one second (FEV1), forced vital capacity (FVC) > 50% of predicted value (corrected for hemoglobin) within 3 months of registration. Forced expiratory volume in one second (FEV1), forced vital capacity (FVC) and carbon monoxide diffusing capacity (DLCOc) >= 50% of predicted). Normal lung function; patients who have extensive pulmonary metastases or any chronic pulmonary disease history must have pulmonary function testing demonstrating forced expiratory volume in 1 second (FEV1) and forced vital capacity (FVC) > 65% of predicted values Diffusing capacity of the lungs for carbon monoxide (DLCO), forced expiratory volume in one second (FEV1), forced vital capacity (FVC) > 50%\r\n* DLCO should be corrected for hemoglobin Pulmonary function tests (forced expiratory volume in one second [FEV1] > 65% or forced vital capacity [FVC] > 65% of predicted are required) within 6 months of lymphodepletion in those who have a history of pulmonary disease that necessitates the use of supplemental oxygen, or is associated with dyspnea on walking one block or less, or requires inhaler therapy more than once per week Diffusing capacity of the lung for carbon monoxide (DLCO), forced expiratory volume in one second (FEV1), and forced vital capacity (FVC) >= 50% of predicted (corrected for hemoglobin) Adequate lung function; forced vital capacity (FVC) and forced expiratory volume in 1 second (FEV1) ? 45% of predicted value as measured by spirometry; and oxygen saturation ? 90% on room air Pulmonary function tests (PFTs) are required of all patients within 4 months prior to lymphodepletion; forced expiratory volume (FEV)1 and forced vital capacity (FVC) must be >= 65% predicted and diffusion lung capacity for carbon monoxide (DLCO) must be >= 50% predicted Diffusion capacity of the lung for carbon monoxide (DLCO), forced expiratory volume in one second (FEV1), forced vital capacity (FVC) >= 50% of predicted value (corrected for hemoglobin) within 3 months of registration Adequate pulmonary function with forced expiratory volume in one second (FEV1), forced vital capacity (FVC) and diffusion capacity of the lung for carbon monoxide (DLCO) >= 50% of expected corrected for hemoglobin Pulmonary: diffusing capacity of the lungs for carbon monoxide (DLCO), forced expiratory volume (FEV1), forced vital capacity (FVC) ? 50% predicted by pulmonary function tests (PFTs) Forced expiratory volume in one second (FEV1) AND forced vital capacity (FVC) > 50% predicted Participants must have adequate pulmonary function studies (PFTs), >= 50% of predicted on mechanical aspects (forced expiratory volume in 1 second [FEV^1], forced vital capacity [FVC]) and diffusion capacity (diffusion capacity of the lung for carbon monoxide [DLCO]) >= 50% of predicted (adjusted for hemoglobin); if the participant is unable to complete pulmonary function tests (PFTs) due to disease-related pain or other circumstances that make it difficult to reliably perform PFTs, documentation of pulmonary function adequate for transplant will occur via a CT scan without evidence of major pulmonary disease, and arterial blood gas results Forced expiratory volume in one second (FEV1)/forced vital capacity (FVC) > 60% by pulmonary function test (PFT), unless due to large mediastinal mass from HL; carbon monoxide diffusion capacity (DLCO), FEV1, and forced vital capacity all > 50% predicted value; Note: pulmonary function testing is not required for children < 8 years old, or for any child who is developmentally unable to comply with pulmonary function testing Spirometry (forced expiratory volume in one second [FEV1] and forced vital capacity [FVC]) & corrected diffusing capacity of lungs for carbon monoxide (DLCO) >= 50% predicted; in small children use history and physical computed tomography (CT) scan to determine pulmonary status Adequate pulmonary function with forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) and diffusion capacity of the lung for carbon monoxide (DLCO) >= 50% of expected corrected for hemoglobin and/or volume; children unable to perform pulmonary function tests (e.g., less than 7 years old) pulse oximetry of >= 92% on room air Forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) >= 60% and corrected diffusion capacity of the lung for carbon monoxide (DLCO) >= 60% Hepatic: i. Total Bilirubin < 2.0 mg/dL (except for isolated hyperbilirubinemia attributed to Gilbert syndrome or antiretroviral therapy as specified in Appendix E) and alanine aminotransferase (ALT) and aspartate aminotransferase (AST) < 5x the upper limit of normal. ii. Concomitant Hepatitis: Patients with chronic hepatitis B or C may be enrolled on the trial providing the above bilirubin and transaminase criteria are met. In addition, there must be no clinical or pathologic evidence of irreversible chronic liver disease, and there must be no active viral replication as evidenced by an undetectable hepatitis viral load by a PCR-based assay. c) Renal: Creatinine clearance (calculated creatinine clearance is permitted) > 40 mL/min. d) Pulmonary: Diffusing capacity of the lung for carbon monoxide (DLCO), forced expiratory volume in one second (FEV1), or forced vital capacity (FVC) ? 45% of predicted (corrected for hemoglobin). Decrease in FEV1 of >= 12% from the baseline (FEV1/forced vital capacity [FVC] ratio < 0.8); NOTE: baseline may be defined as either pre- or post-transplant, as assessed by the treating physician Forced expiratory volume in 1 second (FEV1) and forced vital capacity (FVC) >= 50% of predicted (for patients who have not received thoracic or mantle irradiation; for patients who have received thoracic or mantle irradiation, FEV1 and FVC >= 70% of predicted Pulmonary function tests (PFT)-forced expiratory volume in one second (FEV1), diffusing capacity of the lung for carbon monoxide (DLCO2), and forced vital capacity (FVC) >= 60% predicted value if clinically indicated Forced vital capacity (FVC), forced expiratory volume in one second (FEV1) or diffusion capacity of carbon monoxide (DLCO) > 50% predicted- before admission for transplant as per institutional standards; patients on home oxygen are not allowed on the protocol Forced expiratory volume in one second (FEV1), forced vital capacity (FVC), and adjusted diffusing capacity of the lungs for carbon monoxide (DLCO) >= 50% of predicted values on pulmonary function tests Adequate pulmonary function with forced expiratory volume in one second (FEV1), forced vital capacity (FVC) and diffusing capacity of the lung for carbon monoxide (DLCO) at least 45% of expected corrected for hemoglobin; children unable to perform pulmonary functions must have an oxygen saturation greater than 92% at room air Forced expiratory volume in one second (FEV1), forced vital capacity (FVC) and corrected diffusing capacity of the lung for carbon monoxide (DLCO) >= 50% predicted Pulmonary: Forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC), and carbon monoxide diffusing capacity (DLCO) (corrected for Hb) greater than 50% predicted; for patients in which pulse oxymetry is performed, O2 saturation greater than 92% Forced expiratory volume in one second (FEV1) and forced vital capacity (FVC) > 60% predicted by pulmonary function test; for children who are unable to do pulmonary function tests (PFTs), no evidence of dyspnea at rest and no exercise intolerance should be documented; note: the pulmonary function test must be performed within 4 weeks prior to enrollment Forced expiratory volume (FEV)1, forced vital capacity (FVC) and carbon monoxide diffusing capability (DLCO) (corrected for hemoglobin [Hgb]) >= 50% Forced expiratory volume in 1 second (FEV1) and forced vital capacity (FVC) >= 40% predicted, corrected diffusion capacity of the lung for carbon monoxide (DLCOc) >= 40% predicted Subjects with evidence of underlying obstructive pulmonary disease prior to transplant (clinical history of asthma or baseline forced expiratory volume in 1 second [FEV1] < 80% predicted with FEV1/forced vital capacity [FVC] < 80%) Pulmonary disease with forced vital capacity (FVC), forced expiratory volume in 1 second (FEV1) or diffusion capacity of the lung for carbon monoxide (DLCO) parameters < 45% predicted (corrected for hemoglobin) or requiring supplemental oxygen; children who are developmentally unable to perform pulmonary function testing will be assessed solely on their need for supplemental oxygen Diffusing capacity of the lungs for carbon monoxide (DLCO) (corrected for hemoglobin), forced expiratory volume in 1 second (FEV1) and forced vital capacity (FVC) >= 50% predicted Forced vital capacity (FVC) or forced expiratory volume of the lung in 1 second (FEV1) >= 40% predicted Pulmonary function: Diffusing capacity of the lung for carbon monoxide (DLCO) ? 50% (adjusted for hemoglobin), and forced expiratory volume in one second (FEV1) or forced vital capacity (FVC) ? 50%; for children who are unable to perform for Pulmonary Function Tests (PFTs) due to age or developmental ability, there must be no evidence of dyspnea and no need for supplemental oxygen, as evidenced by O2 saturation ? 92% on room air. Forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC), and adjusted diffusion capacity of the lung for carbon monoxide (DLCO) must be >= 50% of predicted values Forced expiratory volume 1 (FEV1), forced vital capacity (FVC), and adjusted diffusing capacity of the lungs for carbon monoxide (DLCO) >= 50% of predicted values on pulmonary function tests Forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC), and diffusion capacity of the lung for carbon monoxide (DLCO) adjusted >= 50% of predicted values on pulmonary function tests Forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC), and diffusing capacity of the lung for carbon monoxide (DLCO) >= 50% of predicted values on pulmonary function tests Diffusing capacity of the lungs for carbon monoxide (DLCO), forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC) >= 40% predicted, and absence of oxygen (O2) requirements Patients must have adequate pulmonary function: forced expiratory volume in one second (FEV1) and forced vital capacity (FVC) at least 60% predicted value by spirometry Forced expiratory volume in 1 second (FEV1) and forced vital capacity (FVC) >= 50% predicted, corrected carbon monoxide diffusing capability test (DLCO) >= 40% predicted At least one of the following:\r\n* Mild or worse sputum cytologic atypia\r\n* Endobronchial dysplasia (score >= 4) on a previous bronchoscopy.\r\n* At least mild airflow limitation on pulmonary function testing (forced expiratory volume in one second [FEV1]/forced vital capacity [FVC] < 70% actual) COPD, defined as forced expiratory volume in 1 second (FEV1)/forced vital capacity (FVC) < 70% and FEV1% predicted < 80%