This clinical trial is studying induction therapy followed by meta-iodobenzylguanidine (MIBG) labeled with iodine-131 and chemotherapy in treating patients with newly diagnosed high-risk neuroblastoma undergoing stem cell transplant, radiation therapy, and maintenance therapy with isotretinoin. Radioisotope therapy, such as MIBG labeled with iodine-131, releases radiation that kills tumor cells. Drugs used in chemotherapy, such as cisplatin, etoposide, busulfan, and melphalan, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. A peripheral stem cell transplant can replace blood-forming cells that are damaged by MIBG labeled with iodine-131 and chemotherapy.