Die Hard, absolutely.
Gremlins for sure. Whoever said Gremlins 2 was better is clearly smoking the funny cigarettes. The original is a legitimate horror/monster movie with a good story, good characters, and a very high fun factor(without sacrificing the slightly dark element or believability). The only thing missing is Phoebe Cates getting out of a pool and taking her bikini top off, but I guess since it's set in winter and all...Gremlins 2 is a kiddified, dumbed down puppet show, and I'd be fine with never watching it again.
Ghostbusters 2 is fantastic, and just as good as the original.
also, Better Off Dead, I don't think anyone mentioned that. Ricky's obnoxious mom speaking to the French girl, haha "Christmas. Chriiiistmaaaasssss."
I'll be watching all of these in the next week.