This is a phase II trial designed to provide a transplant option for patients with rare poor-prognosis cancers. The protocol is only open to patients with metastatic or relapsed cancers for whom the probability of remaining free of progressive disease for one year after being brought into remission is < 25%. Patients eligible for this study have been diagnosed with a form of cancer that leads to death more than 75% of the time when treated with standard therapy doses of chemotherapy and/ or radiation therapy. Under this treatment intensification protocol the expectation is that the one year progression-free survival for this group of patients will rise to 40%. Patients eligible for this protocol will be followed for one year post-transplant. Patients alive and free of progressive disease at the end of this period will be considered successes.