What are 'common' diseases/health defects babies can die from soon after birth? Not immediately-soon, but maybe from a few hours to a few days later. My Google-fu is weak right now, and I just can't seem to find anything.
In case it might be useful, this is needed for a character who was indeed born with something (I was going to come up with what eventually), and even though that something was uncurable, due to a rather miraculous medical discovery on his father's part he survived. His father was wealthy, with had good connections, and the boy was born in 1980 (if that makes any difference).