Refractory anemia with ringed sideroblasts (RARS) Active myeloma as defined as the presence of calcium, renal failure, anemia and bone (CRAB) criteria: hypercalcemia, renal insufficiency, anemia and/or bone disease Patients with anemia (hemoglobin [HEM] < 10 g/dl) at baseline will be excluded unless otherwise approved by the PI or PI’s designee Primary immunodeficiency disorder or other nonmalignant inherited disease (except Fanconi anemia) treatable by allogeneic HCT Acquired aplastic anemia: severe aplastic anemia (SAA) is defined as follows:\r\n* Bone marrow cellularity < 25%, or marrow cellularity < 50% but with < 30% residual hematopoietic cells\r\n* Two out of three of the following (in peripheral blood): neutrophils < 0.5 x 10^9/L; platelets < 20 x 10^9/L; reticulocytes < 20 x 10^9/L\r\n* SAA diagnostic criteria may be applied to assessment at initial diagnosis or follow-up assessments Fanconi anemia Patients with a secondary condition (sickle cell anemia) that cause priapism Inherited bone marrow failure syndromes. At minimum, the diagnosis of Fanconi anemia must be excluded by diepoxybutane (DEB) or equivalent testing on peripheral blood or marrow. Patients with idiopathic aplastic anemia and Fanconi anemia; (patients with aplastic anemia associated with paroxysmal nocturnal hemoglobinuria [PNH] or inherited marrow failure syndromes, except Fanconi anemia, will be allowed) History of hemolytic anemia or bleeding diathesis or positive direct antiglobulin test. Patients that have active hemolytic anemia Bone marrow failure syndromes, except for Fanconi anemia Patients with Fanconi anemia; at a minimum, the diagnosis of Fanconi anemia must be excluded by diepoxybutane (DEB) or equivalent testing on peripheral blood or marrow in patients younger than 30 years of age; (additional mutational testing may have been performed in a clinical or research capacity on a per patient basis but is not considered an exclusion criteria) Acquired bone marrow failure syndromes, except for Fanconi anemia Patients that have active hemolytic anemia Fanconi Anemia or other underlying bone marrow failure syndrome MRI MONITORING SUB-STUDY: Known history of severe renal insufficiency, asthma, allergic conditions, sickle cell anemia, chronic hemolytic anemia, and gastrointestinal disorders No clinically apparent alternative explanation for thrombocytopenia and anemia Patients with sickle-cell anemia or thalassemia major. Diagnosis of Fanconi anemia must be excluded by mitomycin C or diepoxybutane chromosomal breakage testing on peripheral blood at a CLIA-approved laboratory (not required for patients with a genetic mutation consistent with DC) Patients treated on this study will have:\r\n* Acute leukemia in 1st or 2nd complete remission (CR)\r\n* MDS (myelodysplastic syndrome), specific subtypes of RA (refractory anemia) or RARS (refractory anemia with ringed sideroblasts) subtypes\r\n* Hodgkin or indolent non-Hodgkin’s lymphoma with chemosensitive disease\r\n* Myeloma without morphological evidence of disease, or a PR to the most recent therapy\r\n* Myeloproliferative disorders with at least a PR to current therapy\r\n* Aplastic anemia\r\n* A hematological or oncological disease (not listed) that meets the criteria reviewed above In patients 18-60 years of age, moderately severe aplastic anemia is defined as having at least one of the following:\r\n* Platelet count < 20 x 10^9/L\r\n* ANC < 5 x 10^8/L\r\n* Hgb < 8 g/dL Diagnosis of Fanconi anemia Patients with Fanconi anemia (FA) must have aplastic anemia (AA), myelodysplastic syndrome without excess blasts, or high risk genotype as defined below\r\n* Aplastic anemia is defined as having at least one of the following when not receiving growth factors or transfusions:\r\n** Platelet count < 20 x 10^9 IL\r\n** Absolute neutrophil count (ANC) < 5 x 10^8/L\r\n** Hemoglobin (Hgb) < 8 g/dL\r\n* Myelodysplastic syndrome with multilineage dysplasia with or without chromosomal anomalies\r\n* High risk genotype (e.g. IVS-4 or exon 14 FANCC mutations, or BRCA1 or 2 mutations) Bone marrow failure syndromes, except for Fanconi anemia Acquired bone marrow failure syndromes except for Fanconi anemia or dyskeratosis congenita Patients with myelodysplastic syndrome, aplastic anemia or hemoglobinopathies will be eligible to participate regardless of disease status if plan is to proceed to HCT Patient has anemia due to HbS or HbC disease, alpha or beta thalassaemia Diamond Blackfan anemia; REGISTRATION TO TREATMENT (STEP 1): No active hemolytic anemia requiring immunosuppressive therapy or other pharmacologic treatment; patients who have a positive Coombs test but no evidence of hemolysis are NOT excluded from participation REGISTRATION TO TREATMENT (STEP 2): No active hemolytic anemia requiring immunosuppressive therapy or other pharmacologic treatment; patients who have a positive Coombs test but no evidence of hemolysis are NOT excluded from participation Fanconi anemia (FA) Participants with a diagnosis of MDS secondary to paroxysmal nocturnal hemoglobinuria (PNH), aplastic anemia, or another inherited bone marrow failure disorder Auto-immune hemolytic anemia Patients that have active hemolytic anemia Fanconi anemia Primary immunodeficiency disorder or other nonmalignant inherited disease (except aplastic anemia and Fanconi anemia) treatable by allogeneic HCT Patients with Aplastic anemia and Fanconi anemia Non-malignant disorders deemed curable by allogeneic transplantation: a. primary immune deficiencies, b. severe aplastic anemia not responding to immune suppressive therapy, c. osteopetrosis d. selected cases of erythroid disorders such as ?0 ?0 thalassemia major, sickle cell disease, Diamond-Blackfan anemia. e. congenital/hereditary cytopenia, including Fanconi Anemia before any clonal malignant evolution (MDS, AML). Note: Subjects will be eligible if they meet either item 5 OR item 6. Known clinically significant anemia due to iron, vitamin B12, or folate deficiencies, or autoimmune or hereditary hemolytic anemia, or gastrointestinal bleeding Is undergoing transplant for the treatment of nonmalignant hematological disorders (for example: aplastic anemia, sickle cell anemia, thalassemias, Fanconi anemia). Fanconi Anemia Diagnosis of aplastic anemia, pure red cell aplasia, myelodysplasia or any of the other bone marrow failure states. Patients with Fanconi anemia or other cancer-predisposition syndromes History of hemolytic anemia or thalassemia No active hemolytic anemia requiring immunosuppressive therapy or other pharmacologic treatment; patients who have a positive Coombs test but no evidence of hemolysis are NOT excluded from participation Patients with sickle-cell anemia or thalassemia major. Patients with history of Down's syndrome, Fanconi anemia or other known marrow failure condition Diagnosis of severe aplastic anemia: eligibility to be discussed with principal investigator (PI) and service chief; such patients will be assessed in Arm B Patients that have active hemolytic anemia Fanconi anemia (FA) Anemia below lower limit of normal or anemia requiring transfusion support as per center standard Anemia Active hemolytic anemia requiring immunosuppressive therapy or other pharmacologic treatment; NOTE: patients who have a positive Coombs test but no evidence of hemolysis are NOT excluded from participation Active autoimmune haemolytic anemia. Diagnosis of Fanconi anemia must be excluded in patients younger than 18 years of age by diepoxybutane testing on peripheral blood or comparable testing on marrow. Other indications for HCT, including Fanconi anemia, other form of inherited bone marrow failure diseases, metabolic disorder, hemoglobinopathy, or immune deficiency Severe active anemia (a hemoglobin < 8 documented by labs drawn within 3 months of first study treatment) Have hypothyroidism and anemia Active or unstable metabolic conditions such as brittle diabetes or severe anemia (hemoglobin < 8 g/dl) Hemolytic anemia Patient with aplastic anemia will be excluded Active hemolytic anemia History of atrophic gastritis, pernicious anemia, or Zollinger-Ellison syndrome Patients with sickle cell anemia and other hemolytic anemia Persons with any other condition (such as lichen planus, Fanconi anemia, heavy tobacco use, etc) making them at higher risk for oral cancer development Subjects at increased risk for radiation toxicities, such as known collagen vascular disease (example, scleroderma, Sjogren's disease, etc) or other inherited radiation hypersensitivity syndromes (example, Gorlin syndrome, Fanconi anemia, ataxia-telangiectasia, etc.)