"Ghostbusters II" may be the first that I remember the most. I was a fan of the cartoon and I don't think I'd seen the previous film before I saw this. I remember being creeped out by Vigo and being geeked that Bobby Brown had a cameo in the movie.
I must've seen "Batman" 2 or 3 times that summer though. I remember the opening title sequence (I thought it looked like tiers of a freeway) and the end starting with the Joker taking down the Batplane.