Strange Days
It feels out of place coming out in 1995 [and taking place in the far-flung future of 1999], but I suppose I can forgive that. It's not too hard to see James Cameron's touch hiding just beneath the surface, helping to elevate what might have been just another moldy scifi relic and raising to, while not a classic, something that's still an interesting watch 15 years later. It kinds of reminds me of Johnny Mnenomic, only better in just about every way [acting, writing, story, direction, ect.]. The biggest downside is that the movie veers away from the central technology and how it might affect people and society and turns towards what is a very standard crime-thriller setup. It's a decent movie, interesting in a number of ways, and it fits nicely into that little cinema niche full of movies whose flaws I can overlook.
Also, there's an episode of Ghost in the Shell: Stand Alone Complex that's clearly directly influenced by Strange Days: Jungle Cruise [episode 10 from the first season].