Okay - a lot have been mentioned already - so I won't say these are my top ten - just some to add flavor to the game.
Eastern Promises - Fairly specific, but if you want some organized crime (especially for the Vory)
Brainstorm - simsense anyone?
Westworld/Futureworld - it's not the Renraku Arcology, but still...
Predator - mercs
Alien(s) - da bugs
Terminator franchise - corps and AI
Serpent and the Rainbow - voodoo
2001 - AI
Running Man - Surely this is already the basis for a trid out there!
War Games - AI
AI - ummm...AI and lots of robots
Max Headroom series - Mega Media Networks --- who are you kidding they're MegaCorps!
The Jackal - spies/mercs
Now You See Me - heists and a GM guide to plots within plots
Oceans 11/12/13 - heists and misdirection
The Italian Job - heists
La Femme Nikita(movie and series) - why do I need to take the run? Oh, well, yeah...when you put it that way...
Final Fantasy - dudes...orbital laser?
Battlestar Galactica - clones, clones, clones
Starship Troopers - bugs and lot's of weapons, read the book if you want cool ideas for mechanized armor
Virus - AI - sort of...not a great movie, but if you want to build some horror into your AI...there ya go.
Portal1/2 - AI and there's cake!
Metropolis - haves and have nots
Cyborg and Universal Soldier - yeah, I know...but still cyberzombies?
Firefly and Serenity - awesome - the Alliance = Megacorps
Ummm...hmmmm....looking back through the list, it's rather eclectic...my brain is kind of random. Anyway, since you all took the good Shadowrun reference movies, think of this list as plot development!
[edit - movie title error!]