This paper examines the ethical issues arising from living non-relative organ donation. The Transplantation Act in Taiwan allows living organ donation only between blood relatives within fifth degree and spouses, which is stricter than most other countries. This paper introduces paired exchange, emotionally related living donation, and altruistic donation between strangers, then explores the related ethical issues and current practice in certain countries. The authors suggest that paired exchange and emotionally related living donation should be legally permitted in our legal reform which will be helpful in relieving organ shortage to certain degree.