People have mentioned plenty of good titles for inspiration. I like anything with a "team of professionals" vibe, especially espionage and heist films: the Mission Impossible series (I actually prefer the later ones), Ocean's Eleven and its sequels, Heat, The Usual Suspects, Heist, The Italian Job, Ronin, the last few Fast & Furious movies, The A-Team, the Expendables series, and so on. For TV, you can't beat Leverage, and my regular campaign tries to capture the feel of that show.
Some movies and TV shows are useful for illustrating specific concepts or elements of the game. Strange Days explains simsense really well. One character in the TV series Alphas makes a good technomancer. The old Max Headroom series offers a good example of SINless life in the Barrens. Equilibrium is the obvious inspiration for handgun-based martial arts like Gun Kata and Firefight.
I often use Ghost Dog to illustrate an adept's magical stealth. In the opening sequence of the film, Forest Whitaker is invisible simply by walking where no one is looking. It's a remarkable piece of staging: he's never in anyone's sight line.
Movies and TV also dish up some great character studies. As a GM, when I say "think Jodie Foster in The Inside Man," everyone gets a pretty clear picture of a certain type of high-end fixer (everyone who's seen that movie, anyway). A hitman like Jean Reno in The Professional. A tough guy like Mel Gibson in Payback. A bodyguard like Avery Brooks in Spenser for Hire. A document forger like Mira Sorvino in The Replacement Killers. A con man like Will Smith in Focus. An adept like Maggie Q in Nikita. A government agent like Matt Damon in the Bourne movies. A detective like Morgan Freeman in Seven.
