Inclusion Criteria:

- Age > 50 years with hematologic malignancies treatable by allogeneic hematopoietic
stem cell transplant (HSCT) and all patients with B cell malignancies except those
who may be cured by autologous stem cell transplantation (SCT)

- Age =< 50 years of age with hematologic diseases treatable by allogeneic HSCT who
through pre-existing medical conditions or prior therapy are considered to be of high
risk for regimen related toxicity associated with a conventional transplant or those
patients who refuse a conventional SCT; transplants must be approved for these
inclusion criteria by both the participating institution's patient review committee
such as the Patient Care Conference (PCC at the Fred Hutchinson Cancer Research
Center [FHCRC]) and by the principal investigator

- Patients with metastatic renal cell carcinoma with the histologic subtypes of clear
cell, papillary and medullary may be accepted regardless of age

- The following diseases will be permitted although other diagnoses can be considered
if approved by PCC or the participating institution's patient review committees and
the principal investigator

- Non-Hodgkin lymphoma (NHL), chronic lymphocytic leukemia (CLL), Hodgkin lymphoma
(HL) - must have received and failed frontline therapy

- Multiple myeloma - must have received prior chemotherapy; consolidation of
chemotherapy by autografting prior to nonmyeloablative HSCT is permitted

- Acute myeloid leukemia (AML)/acute lymphoblastic leukemia (ALL) - must be in
complete remission and have received cytotoxic chemotherapy at some stage before
transplant; patients with molecular or early relapse will be accepted providing
a donor is available; patients with persistent or refractory disease will be
considered on a case by case basis and transplants must be approved by the
institution's patient review committees

- Chronic myelogenous leukemia (CML) - Patients will be accepted in chronic phase
or accelerated phase; patients who have received prior autografts after high
dose therapy or have undergone intensive chemotherapy for either peripheral
blood stem cell (PBSC) mobilization or treatment of advanced CML may be enrolled
provided they are in complete remission (CR), chronic phase (CP) or accelerated
phase (AP)

- Myelodysplastic syndromes (MDS) - All patients with MDS will be eligible for
this protocol; however, those patients with MDS and frank AML (>30% blasts in
bone marrow aspirate by morphology or flow cytometry) will require induction
chemotherapy to obtain a complete remission (marrow blasts < 5%) and remain in
complete remission at time of transplant

- Renal Cell Carcinoma- Must have evidence of disease not amenable to surgical
cure or metastatic disease by radiological and histological criteria

- DONOR: Human leukocyte antigen (HLA) matched unrelated donor; donors should be
matched for HLA -A, -B, -C, -developmentally regulated RNA binding protein 1(DRB)1
and -class II, DQ beta 1(DQB)1; HLA -A and -B loci should be matched at least to the
level of resolution specified in Appendix I; HLA -C, -DRB1, and -DQB1 should be typed
at the highest level of resolution available at the time of donor selection; donor
must consent to either a bone marrow harvest or PBSC mobilization with filgrastim
(G-CSF) arranged through the National Marrow Donor Program (NMDP) or other donor
centers

Exclusion Criteria:

- Patients with rapidly progressive intermediate or high grade NHL

- Renal Cell Carcinoma patients with expected survival of less than 6 months

- Bulky disease resulting in severely limited performance status (< 70%)

- Any vertebral instability

- Any active central nervous system (CNS) involvement with disease

- Fertile men or women unwilling to use contraceptive techniques during and for 12
months following treatment

- Females who are pregnant

- Patients with non-hematological tumors

- Cardiac ejection fraction < 30%

- Pulmonary: Diffusion capacity of carbon monoxide (DLCO) < 30% and/or receiving
supplementary continuous oxygen

- Liver function abnormalities: Significant elevation of bilirubin and transaminases
should be discussed at participating institutions' patient review committees in a
case by case basis; evidence of synthetic dysfunction or severe cirrhosis will result
in patient exclusion

- Karnofsky score < 50 (except renal cell carcinoma [RCC])

- Patients with poorly controlled hypertension on multiple antihypertensives

- Human immunodeficiency virus (HIV) positive patients