Patients receive topotecan IV on days 1-5 and paclitaxel IV over 3 hours on day 5. Patients receive filgrastim (G-CSF) subcutaneously (SC) daily beginning 24 hours after the last dose of chemotherapy and continuing until blood counts recover. Treatment repeats every 3 weeks for 2 courses. After 2 courses of treatment, patients undergo TRT twice daily for 5 consecutive days for 5 weeks. During TRT, patients receive cisplatin IV, oral etoposide, and amifostine SC daily prior to TRT. At 4 weeks after completion of TRT, patients receive 2 additional courses of topotecan, paclitaxel, and G-CSF every 3 weeks followed by prophylactic cranial irradiation. Patients are followed every 3 months for 1 year, every 4 months for 1 year, and then every 6 months for 3 years.