In the year 2019, we identified and screened over 400 peer-reviewed publications on pancreatic transplantation, over 200 on intestinal transplantation, and over 1900 on kidney transplantation. The liver transplantation section focuses on and features selected articles among 70 clinical trials published in 2019. This review highlights noteworthy literature pertinent to anesthesiologists and critical care physicians caring for patients undergoing abdominal organ transplantation. We explore a broad range of topics, including risks for and prediction of perioperative complications, updated indications for transplantation, recommendations on perioperative management, including Enhanced Recovery After Surgery programs, and topics relevant to optimization of patient and graft outcomes and survival.