OUTLINE: Patients are staged according to the International Neuroblastoma Staging System and are further defined by progressively less favorable risk groups based on age at diagnosis, serum LDH, and tumor resectability (risk groups A, B, C, and D, representing presence of 0, 1, 2, or 3 risk factors, respectively). Patients who are unable to be resected at entry or with incomplete resection are re-evaluated at 4-month intervals for the appropriateness of tumor resection. STAGE 1 PATIENTS Patients undergo complete primary tumor resection and no other therapy. STAGES 2, 3A, AND 3B PATIENTS Patients undergo primary tumor resection, followed by cisplatin, etoposide, vindesine (PEV) alternating monthly with vincristine, dacarbazine, ifosfamide, doxorubicin (VDIA). Patients in complete remission (CR) discontinue therapy, while those with less than CR receive additional therapy as outlined below for stages 3C, 3D, and 4 patients, except that these patients are not eligible for bone marrow transplantation. STAGES 3C, 3D, AND 4 PATIENTS Patients receive PEV and VDIA as above, with radiotherapy to sites of metastases during the third and fourth courses, following which autologous bone marrow is collected. Following marrow harvest, patients receive up to 4 more alternating courses of PEV/VDIA; those with no response or progressive disease after the sixth chemotherapy course are referred for other therapy. Patients who complete PEV/VDIA receive 3 weeks of radiotherapy to the primary tumor bed or residual tumor. Stage 4 patients in complete or very good partial remission and with sufficient harvested marrow undergo ABMT following radiotherapy. Myeloablation consists of high-dose MIBG radioisotope therapy followed by high-dose melphalan, etoposide, and carboplatin. All other patients and those who refuse ABMT receive 1 year of alternating, low-dose chemotherapy courses, beginning concurrently with initiation of radiotherapy. One regimen consists of oral melphalan/etoposide for 5 days and the other regimen consists of intravenous vincristine on 1 day and oral cyclophosphamide for 7 days. Therapy continues for 1 year. STAGE 4S PATIENTS Patients in risk groups 4S-A and 4S-B receive no therapy. Patients in group 4S-C receive 4-8 weekly injections of doxorubicin and vincristine (AV). Patients with tumor progression may receive low-dose radiotherapy. Primary tumor resection may be delayed up to 8 months after diagnosis in these patients. Use of G-CSF is allowed but not recommended.