Human leukocyte antigen (HLA) / or / matched related or unrelated donor available, as determined by antigen or allele level typing at HLA A, B, C, and allele level typing at major histocompatibility complex, class II, DR beta (HLA DRB) Patients with related or unrelated donors for whom the best available donor is: a) mismatched at antigen level for any single class I locus (HLA-A, -B, -C) +/- an additional class I mismatch at the allele level OR mismatched at the allele level for any class I loci (if typed at the molecular level) OR mismatched at the antigen or allele level for class II loci HLA-DRB and/or DQB; must be matched for at least one DRB allele and one DQB allele; b) there is a likelihood of rapid disease progression while HLA typing and results of a preliminary search and the donor pool suggests that a / HLA-A, B, C, DRB and DQB matched donor will not be found; c) there is no HLA-A, -B or -C one locus allelic mismatched donor available DONOR: HLA-matching must be based on results of high resolution typing at HLA-A, B, -C, -DRB, and DQB The donor and recipient must have an HLA-/ allelic match at the HLA-A, -B, -C, and - DRB loci. High-resolution typing is required for all alleles. Only matched unrelated donors are acceptable for this trial. DONOR: Sibling of any patient enrolled on this protocol proven by ABO typing, human leukocyte antigen (HLA) typing and variable number tandem repeat (VNTR) analysis to be syngeneic with the patient (e.g. identical twin) Units must be HLA matched at a minimum of / to the recipient at HLA -A, HLA-B (at low resolution using DNA based typing), and HLA -DRB (at high resolution using DNA based typing). DONOR: HLA matched unrelated donor according to Standard Practice HLA matching criteria:\r\n* Matched HLA-A, -B, -C, and -DRB alleles by high resolution typing\r\n* Only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing HLA-matched unrelated donors (HLA-A, B, C, and DRB matched based on high-resolution typing) capable and willing to donate PBSC (Arms C and D) Available HLA -/ matched genotypically haploidentical family member donor (based upon A, B intermediate and DRB high resolution HLA typing; additional C and DQB typing may be necessary to accurately assign haplotypes) DONOR: Human leukocyte antigens (HLA)-identical related donors or unrelated donors matched for HLA-A, B, C, DRB, and DQB or mismatched for a single allele at HLA-A, B, C, DRB or a single DQB antigen or allele mismatch by high resolution deoxyribonucleic acid (DNA) typing HLA-MATCHED UNRELATED DONOR: FHCRC matching allowed will be grades . to .; unrelated donors who are prospectively:\r\n* Matched for HLA-A, B, C, DRB and DQB by high resolution typing; \r\n* Only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing HLA-MISMATCHED UNRELATED DONOR: HLA-matching must be based on results of high resolution typing at HLA-A, B, -C, - DRB, and DQ Patient must be HLA typed at high resolution using deoxyribonucleic acid (DNA) based typing at the following loci: HLA-A, -B, -C, and DRB Patients must be major histocompatibility complex, class I, A (HLA-A)* by low resolution typing, and HLA-A*: by one of the high resolution type results An / or / human leukocyte antigen (HLA) matched (high resolution typing at A, B, C, DRB, DQ) sibling or unrelated donor DONOR: High resolution typing at HLA-A, B, C and DRB alleles\r\n* Single antigen mismatch for siblings and single allele mismatch for volunteer unrelated donors is acceptable\r\n* Donors must be >= years of age MATCHED UNRELATED DONOR: Unrelated donor matched at / or / HLA-A, B, C, major histocompatibility complex, class II, DR beta (DRB), and major histocompatibility complex, class II, DQ beta (DQB) loci by high resolution typing DONOR: Evaluation: history and physical examination; laboratory examinations: hematology, electrolytes, chemistry; infectious disease screening and serology; HLA typing; KIR typing will not be indicated if there is only one haploidentical donor; KIR typing is advised to be done if feasible and does not delay transplant An / human leukocyte antigen (HLA) matched (high resolution typing at A, B, C, DRB) sibling or unrelated donor DONOR: The donor and recipient must be identical at least HLA alleles based on high resolution typing of HLA-A, -B, -Cw, -DRB, and -DQB, with at least one allele matched for a HLA class I gene (HLA-A, -B, or -Cw) and at least one allele matched for a class II gene (HLA-DRB or -DQB) DONOR: Any matched sibling donor (matched at HLA A, B, C by intermediate resolution typing and HLA-DRB by high resolution typing), or unmatched unrelated donor (matched at HLA A, B, C, DRB by high resolution typing) will be considered a suitable donor Patients must have an HLA-A, B, DRB identical sibling donor; patients and donors will be typed for HLA-A and B using serological or molecular techniques and for DRB using high resolution molecular typing DONOR: all matching will be performed at the allele level, with high resolution typing Must be HLA compatible in / or / alleles by digit/allele high-resolution molecular genotyping Patients must have an =< antigen mismatched HLA-A, B, DRB unrelated donor or =< antigen mismatched related (non-HLA-matched sibling) or =< antigen mismatched unrelated umbilical cord blood (UCB) donor; patients and donors will be typed for HLA-A and B using intermediate or high resolution molecular techniques and for DRB using high resolution molecular typing Related donors that are matched at HLA -/ loci (HLA A, B, C, and DRB loci) by intermediate resolution Unrelated donors that are matched at HLA / (HLA A, B, C, and DRB loci); allele/antigen mismatch at HLA-A, -B, -C, or DRB may be considered if no other suitable donor available HLA-Identical Sibling (/): Minimal typing necessary is serologic typing for class I (AB) and molecular typing for class II (DRB) Matched Unrelated Donor (/): Molecular identity at HLA A, B, C and DRB by high-resolution typing Matched Related and Unrelated Donor (/): high-resolution molecular typing at the following loci is required: HLA A, B, C and DRB HLA typing should be performed at registration, if possible An eligible HLA-identical donor (either related or unrelated) should be available; in sibling donors, low resolution HLA typing (A,B,DR) will be considered sufficient; in the case of unrelated donors, high-resolution class I and II typing (A, B, C, DRB and DQ) should be matched at all loci; donors must be willing and able to undergo peripheral blood progenitor mobilization \r\n* HLA-identical sibling (/): the donor must be determined to be an HLA-identical sibling (/) by serologic typing for class (A, B) and low resolution molecular typing for class II (DRB)\r\n* Matched unrelated donor (/): high resolution molecular typing at the following loci is required: HLA-A, -B, -C, -DRBL, and DQB\r\n* NOTE: for matched donors will allow select antigen mismatched sibling donors and unrelated donors in accordance with site institutional standard, as long as matched at HLA-A, HLA-B, HLA-C, and DRB, and with advanced discussion/approval by the Study Chair and the bone marrow transplant (BMT) co-chair Availability of a / human leukocyte antigen (HLA) matched sibling defined by class I (HLA A and B) serologic typing (or higher resolution) and class II (HLA-DRB) molecular typing DONORS will be a HLA-identical sibling or HLA-matched unrelated donor; unrelated donors are required to be matched by high resolution allele level typing for HLA-A, B, C and DRB and intermediate resolution Sequence Specific Oligonucleotide Probes (SSOP), identifying alleles in groups of related families historically defined as antigens for DQB; an unrelated donor is considered matched if patient and donor share HLA-A, B, C alleles with identical sequences at exons and , DRB alleles with identical sequences at exon , and DQB results that include the same allele groups An / or / human leukocyte antigen (HLA)matched non-syngeneic donor is available and eligible to donate hematopoietic stem cells following institutional guidelines for bone marrow transplant (BMT) procedure; high-resolution HLA typing is required at HLA-A, -B, -C and -DR alleles DONOR: Unrelated donors matched for HLA-A, B, C, DRB, and DQB as defined by high resolution deoxyribonucleic acid (DNA) typing; mismatch for one HLA allele is allowed Donors: Related donor who is human leukocyte antigen (HLA) genotypically identical at least at one haplotype and may be genotypically or phenotypically identical for serological typing for HLA-A, B, -C, and at the allele level for -DRB and -DQB; related donors must be a match or a single allele mismatch at HLA-A, B, and C (at highest resolution available at the time of donor selection) and matched at DRB and DQB by deoxyribonucleic acid (DNA) typing Donors: Unrelated donors who are prospectively:\r\n* Matched for HLA-A, B, C, DRB and DQB by DNA typing at the highest resolution routinely available at the time of donor selection\r\n* Only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing (no mismatching for DRB or DQB is allowed) Unrelated Donor: FHCRC matching allowed will be grades . to .: Unrelated donors who are prospectively:\r\n) Matched for HLA-A, B, C, DRB and DQB by high resolution typing;\r\n) Only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing DONOR: FHCRC matching allowed will be grade . to .: unrelated donors who are prospectively: matched for HLA-A, B, C, DRB and DQB by high resolution typing; only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing Partially HLA-mismatched unrelated donor: HLA typing will be performed at high resolution (allele level) for the HLA-A, -B, -C, and -DRB loci; a minimum match of / at HLA-A, -B, -C, and -DRB is required DONOR: HLA-matched unrelated donors (HLA-A, B, C, and DRB matched based on high-resolution typing) capable and willing to donate PBSC Human leukocyte antigen (HLA)-matched (-A, -B, -C, -DRB) unrelated donors; or -locus HLA-mismatched (-A, -B, -C, -DRB) related or unrelated donors DONOR: FHCRC matching allowed will be grades . to .: Unrelated donors who are prospectively:\r\n* Matched for human leukocyte antigen (HLA)-A, B, C, DRB and DQB by high resolution typing\r\n* Only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing UNRELATED DONORS: \r\n* Fred Hutchinson Cancer Research Center (FHCRC) matching allowed will be Grades . to .; Unrelated donors who are prospectively: \r\n* Matched for HLA-A, B, C, DRB and DQB by high resolution typing\r\n* Only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing Patients having received a preceding allogeneic transplantation from either a human leukocyte antigen (HLA)-matched related or unrelated donor are eligible for this protocol\r\n* Related donor: HLA genotypically identical at least at one haplotype and may be phenotypically or genotypically identical at the allele level at HLA A, B, C, DRB, and DQB\r\n* Unrelated donor who are prospectively: \r\n** Matched for HLA-A, B, C, DRB and DQB by high resolution typing; OR\r\n** Only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing DONOR: Fred Hutchinson Cancer Research Center (FHCRC) matching allowed will be grades . to .; unrelated donors who are prospectively: matched for HLA-A, B, C, DRB and DQB by high resolution typing; only a single allele disparity will be allowed for HLA-A, B, or C as defined by high resolution typing DONOR: HLA genotypically identical sibling or unrelated donor; unrelated donors are required to be matched by standard molecular methods at the intermediate resolution level at HLA-A, B, C and DRB and the allele level at DQB A / HLA matched (high resolution typing at A, B, C, DRB, DQ) sibling or unrelated donor. Patient must qualify with a study specific HLA typing assay. DONOR: Eligible donors include healthy sibling, relative or unrelated donors that are matched with the patient at HLA-A, B, C, and DRB by high resolution typing Patients must have received transplantation from donors (both related and unrelated) who are identical at HLA loci (A, B, C and DRbeta), or mismatched at no more than locus (/); among related donors, HLA C typing is not required (/ HLA matches); class I typing is to be performed by polymerase chain reaction (PCR)-sequence specific primers (SSP) techniques and complement-dependent cytotoxicity (CDC) techniques; class II typing is performed by PCR-restriction fragment length polymorphism (RFLP) +/- PCR-SSP techniques Eligible donors will include healthy sibling, relative or unrelated donors that are matched with the patient at HLA-A, B, C, and DRB by high resolution typing as defined by the Collaborative Trials Network Patients receiving allogeneic peripheral blood stem cell (PBSC) grafts from HLA-matched (/ and / matches) siblings or from well matched unrelated donors (/ or / matches at HLA-A, B, C, DRB and DQB by high resolution typing) are included; all grafts will be unmanipulated (i.e., no T cell depleted or CD selected grafts) Patients must have received transplantation from an human leukocyte antigen (HLA)-matched (/ loci at A, B, and DRB) or mismatched (-/) donor (related or unrelated); class I and II typing is to be performed by standard methods at our institution Human leukocyte antigen (HLA) matching:\r\n* HLA typing will be performed by high resolution molecular deoxyribonucleic acid (DNA) typing for HLA class A, B and C, and class II DRB and DQB alleles DONOR: HLA typing will be performed by high resolution molecular DNA typing for HLA class A, B and C, and class II DRB and DQB alleles DONOR: unrelated adult donors must be matched by high resolution molecular DNA typing at / or / HLA A, B and C (class I) and HLA DRB (class II) alleles, or / or / HLA A, B and C (class I) and HLA DRB and DQB(class II) alleles DONOR: related donors must be matched by high resolution molecular DNA typing at /, /, /, /, / or / HLA A, B and C (class I) and HLA class II DRB and DQB alleles Availability of a related haploidentical donor with ? / but < /, or ? / but < / matches at the HLA-A, -B, -C, -DRB, and/or -DQB loci, as determined by high resolution human leukocyte antigen (HLA)-typing HLA typing will be performed at high resolution (allele level) for the HLA-A, -B, Cw, and DRBl, and loci. A minimum match of / is required. The donor and recipient must be identical, as determined by high resolution typing, at least one allele of each of the following genetic loci: HLA-A, HLA-B, HLA-Cw, and HLA- DRB.