What else should I worry about? “87 5th ave.

So far I have replaced the tires, got an alignment, fixed the wiper motor linkage and now I am putting a new radiator and thermostat in my "87 5th ave. It overheated yesterday on the way to work. I knew the radiator was leaking so this wasn't a surprise. It's only been two weeks since I bought the car and I know this is normal since it wasn't on the road for almost six years. What else should I be concerned about? Are there any known issues I should just address before I start driving it daily?
Author: Lord Alvin