Science can now grow new organs for you from your own tissue. That is, the heart they transplant in you would have zero chance of rejection because your body would recognize the tissue as its own. This is great news for those who have failing organs. They no longer need to wait for someone to die to get the new organ they need.
BTW, I've heard stories with organ donation of stuff like a kid with a donated heart walking up to a strange couple in an airport and calling them mom and dad (and it turned out that they were the parents of the heart donor).