DISEASE CHARACTERISTICS: Histologically proven malignancy or condition of the following types: Acute myelogenous leukemia (not M5 or M6) or lymphocytic leukemia in first or greater remission or early relapse OR Chronic myelogenous leukemia OR Myelodysplastic syndrome OR Aggressive or refractory non-Hodgkin's lymphoma OR Aggressive or refractory Hodgkin's disease OR Multiple myeloma at early relapse or after conventional chemotherapy to reduce tumor mass OR High risk chronic lymphocytic leukemia OR Aplastic anemia HLA-matched or 1 antigen mismatched (related or unrelated) available as donor