Oooh. Well it's the most relevant with science fiction that puts in hard dates for instance, Back to the Future, The Terminator, The Matrix, even Star Trek.
According to Back to the Future we should have hover boards. Skynet should have already become self-aware. And Star Trek says the eugenics war happened 20 years ago.
Star Trek is a great example because we actually get a taste of what you are asking. The 2009 version is basically "What a classic would be like if it were made today." Quite a bit more action, substantially more fast paced, some lens flare thrown in and presto!
idk how Back to the Future would be different. I literally think you could just update the dates and the film would still make sense. For instance, in BttF2 they go to the year 2055 instead and its his grandson, etc.
Star Wars - Timeless (different universe)
Indiana Jones - Timeless (it was a period movie to begin with)
Godfather - Timeless (see above)
Alien - Still works for the time being
Obviously the editing arts, quality standards, camera tech, computer graphics and political correctness is stuff that is constantly changing.
Superman will give you another taste of this. Man of Steel is going to be Superman vs. Zod just like back in 1980.
And of course you have:
Total Recall (2012)
Dredd (2012)
The A-Team (2010)
Incredible Hulk (2008)
All perfect examples of what you are asking. Then again, a lot of people refuse to accept reboots of classics. Almost to the point of taking offense. If they ever rebooted my favorite movie (Almost Famous) idk how I'd feel about it.