This protocol will allow the use of patient-specific conditioning regimens. Some patients have contraindications to certain components of the conditioning regimen used for our ongoing study under BB-IND 8817 (CC# 01151). An example is a patient with pre-existing organ dysfunction that would be better served by the use of a reduced intensity conditioning regimen. Another example is a patient for whom total body irradiation is contraindicated due to very young age or prior radiation therapy. Finally, patients who would be otherwise eligible for the predecessor study but who do not have an eligible related donor or a closely matched unrelated donor would be eligible for this study. The target CD3+ T cell dose that will be given will be 3 x 10^4/kg. The UCSF 01151 protocol uses a dose of 3 x 10^4/kg. The T cell dose in the graft is usually < 1 x 10^4/kg after processing and T cells are added to the product.