- 12 Monkeys (1996/2035)
- Escape from New York (1997)
- Predator 2 (1997)
- Terminator II: Judgment Day (1997)**
- 2001: A Space Odyssey
- Transformers: The Movie (2005)***
- Death Race (2012)
Also, some films we've not quite caught up with yet:
Escape from L.A. (takes place in 2013)
Back to the Future Part II (in which they go forward to 2015)
Blade Runner (November, 2019)
Minority Report (2054)
And one episode of Ren & Stimpy that we're unlikely to catch up with:
'Space Madness' - takes place in "the amazing year 400 billion!"
* Or "...with which we have caught up", not actually preferable as it still ends with a preposition, and every good writer knows that's not something you should end a sentence with.
** Judgment Day was, according to Sarah Connor's opening voiceover, going to happen on 29 August, 1997; at least, that was going to be Judgment Day before we're told that it didn't actually happen then in Terminator 3 (which we've also caught up with, as it takes place in 2004). Also, a lot seem to happen in 1997 for some reason.
*** "It is the year 2005, and the Decepticons are now in control of Cybertron..." How far in the future that seemed in 1986!