Running Scared is another favorite 80's comedy. They tried to turn Billy Crystal into an action star.
Unsung or not, Big Trouble In Little China and Midnight Run are probably my favorite 80's comedies (looking at my list, it appears that I favor action comedies).
One of the top 80's comedies is supposed to be A Fish Called Wanda. Even though I am a Monty Python fan, I didn't find it funny at all. The same holds true for The Blues Brothers. I never actually saw it until last year and didn't care for it. I think it might be one of those "you had to be there" deals.