Organ transplantation has enriched and prolonged the lives of many patients who otherwise would have died of organ failure. Many of these advances, which occurred in the later part of the 20th century, are due to improved techniques and pharmacological management. Today, almost every organ can be transplanted. However, donor and recipient criteria can vary widely according to the organ(s) in question. This article reviews the historical changes that have occurred in transplant along with current criteria for donors and recipients, and describes the newest outreach to increase the donor pool.