Non-Ablative Allo HSCT For Hematologic Malignancies or SAA

RATIONALE: Drugs used in chemotherapy use different ways to stop cancer cells from dividing so they stop growing or die. Peripheral stem cell transplantation may be able to replace immune cells that were destroyed by chemotherapy used to kill cancer cells.
PURPOSE: Phase II trial to study the effectiveness of combination chemotherapy followed by peripheral stem cell transplantation in treating patients who have hematologic cancer or aplastic anemia.