Hearts, liver, kidneys, lungs, small intestine, pancreas, corneas, heart valves. Some other things have been transplanted (both successfully and unsuccessfully), but typically only "life saving" organs are routinely transplanted.
One is not "better" than the other - they will both perform exactly the same as a non transplanted heart or lungs. Neither will make the patient bionic or superhuman. A patient with heart failure...
In some instances, the heart valves from pigs are used in heart-valve transplantation operations in humans. (Other options include human valves, bovine and artificial. ) Other organs from pigs are...