When I started work as a dialysis tech I was used as a scout to scour the ICUs and CCCUs for potential donors for harvest. I also participated in some harvests when I worked at Methodist Hospital in Indianapolis. The law specifically charged the recipient organization with paying the donor's usual and customary funeral costs, but that was it. Most hearts are not even harvested from the same donor who provides kidneys. The logistics of transport and the need to closely match the SIZE of the organ to the recipient frustrated harvesting.
Lungs are damn near impssible to preserve well.
A recent issue of the Lancet reports on post-mortem transplant of such kidneys with good success. Ischemia-reperfusion treatment protocols promise to open up this huge pool of donors. The exception is the heart. As a result, hearts are rejected far more frequently than other organs. Starzl recently discovered that donors who don't reject their grafts long-term have chimeric immune systems.