Personally for me, Independance Day should have had a sequal. Would have loved to see how people coped after being nearly wiped out, and with a potential new invasion.
I know a lot of people didn't like it, but I thought it was a great film.
I would love to see a sequel to "Deep Rising"(LINK). The movie is a crazy mix of action and horror. It had a great ending that was clearly meant to excite people about a sequel. Sadly it never happened.
I enjoyed it too. Not as much as I used to though. They did release 2 or 3 "Independence Day" novels which are basically sequels to the movie (one is actually a prequel). I have them somewhere around the house. They're pretty decent from what I remember but they're very hard to find nowadays. Here's a picture of 2 of them:
As a 'popcorn' hollywood blockbuster, I enjoyed ID4 too. The idea of a sequel doesn't get me going, though. There are plenty of post-apocolypse films around that deal with that sort of story.
I'd like a sequel to Vanilla Sky when Tom Cruise wakes up in the future - He could re meet Cameron Diaz and Penelope Lopez being different characters to the ones they played in the original movie. Although I loved the first movie, I still want to know what happened next.