To illustrate our point, here are but six of the movies in which the track appears. It's mostly during crime scenes and similar high-drama situations. Because the Stones are so very, very edgy.
Scene in which the song appears: Henry (Ray Liotta) realizes that dealing drugs is a profitable business! Who knew?
Scene in which the song appears: Air America pilots Gene (Mel Gibson) and Billy (Robert Downey Jr.) are flying head first into the Vietnam War, all the while smuggling heroin without realizing it. Little known fact: This film inspired an amazing radio network.
Scene in which the song appears: Whip Whitaker (Denzel Washington) is an airline pilot suffering from alcohol and cocaine addiction. "Gimme Shelter" plays numerous times throughout the film as tension mounts, especially between him and the character played by John Goodman. The message is that the Stones go great with drugs, with flying, and with drunk flying.