High-Dose Chemotherapy, Total-Body Irradiation, and Autologous Stem Cell Transplantation or Bone Marrow Transplantation in Treating Patients With Hematologic Cancer or Solid Tumors

OBJECTIVES: * Determine the morbidity, mortality, and overall outcome in patients with hematologic malignancies, breast cancer, or other chemosensitive solid tumors treated with disease-specific dose-intensive conditioning regimens and autologous peripheral blood or bone marrow transplantation. OUTLINE: Patients are stratified according to risk group (standard vs high). Standard risk includes acute leukemia in first relapse or second remission; lymphoma in responding first relapse or second remission; or breast cancer at risk for recurrence. High risk includes all others. Patients receive specific conditioning regimens according to diagnosis as outlined below. Conditioning * Regimen A (standard risk non-Hodgkin's lymphoma and under 60 years of age)-Etoposide, cyclophosphamide, and total body irradiation (TBI) (VCT): Patients receive etoposide IV continuously over 26 hours beginning on day -5 and cyclophosphamide IV over 2 hours on day -4. Patients undergo TBI on days -3 to -1. * Regimen B (any risk Hodgkin's lymphoma and under 60 years of age)-Cyclophosphamide, carmustine, and etoposide (CBV): Patients receive etoposide IV continuously over 34 hours beginning on day -8; cyclophosphamide IV over 2 hours on days -7 to -4; and carmustine IV over 2 hours on day -3. * Regimen C (any risk patient with prior exposure to high-dose etoposide and cyclophosphamide and under 60 years of age)-Melphalan and TBI (MEL/TBI): Patients receive melphalan IV over 30 minutes on day -4. Patients undergo TBI on days -3 to -1. * Regimen D (multiple myeloma or amyloidosis)-Melphalan only (MEL only): Patients receive melphalan IV over 30 minutes on day -2. * Regimen E (any patient unable to receive TBI)-Busulfan and cyclophosphamide: Patients receive oral busulfan (or busulfan IV over 2 hours) on days -7 to -4 and cyclophosphamide IV over 2 hours on days -3 and -2. * Regimen F (any risk breast cancer)-Cyclophosphamide, carboplatin, and thiotepa (STAMP V): Patients receive cyclophosphamide IV over 24 hours, carboplatin IV over 24 hours, and thiotepa IV over 24 hours on days -7 to -4. * Regimen G (solid tumors other than breast or testicular cancer)-Thiotepa and carboplatin (TT/CARBO): Patients receive thiotepa IV over 2 hours on days -6 and -5 and carboplatin IV continuously over 96 hours beginning on day -6. * Regimen H (recurrent or primary progressive testicular cancer)-Etoposide and carboplatin (VP/CARBO): Patients receive etoposide IV over 2 hours and carboplatin IV over 30 minutes on days -6 to -4. Stem Cell Infusion * In all regimens, patients undergo autologous stem cell infusion on day 0. Treatment continues in the absence of unacceptable toxicity. PROJECTED ACCRUAL: Approximately 450 patients (50 patients \[25 per stratum\] per regimen) will be accrued for this study within 10 years.