Factotum starring Matt Dillon is almost non-violent, despite the lead character being Charles Bukowski, a minor San Francisco writer and alcoholic who was portrayed by Mickey Rourark in the movie Barfly (1987) as a drunk who loved nothing more than a good barfight. The movie Factotum is, simply, a writer's movie, and so much so that the viewer is likely not to realize it's any more than an account of the lost wanderings of a failed human being until the last scene when Dillon's Bukowski soliloquy about writing ends with "(devoting one's life to writing) is the only good fight there is." At this point, the entire movie falls into place.
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Finally, Edge of Darkness brings the Mel Gibson of Mad Max right up to the present. It's a cliff-hanger about a radical graduate of MIT who is a policeman's daughter and gets hired by a secret Boston Beltway corporation designing nuclear weapons constructed from foreign-only materials, so when they're used by the U.S., they'll appear to have been used by other countries. This movie explodes off the screen early and keeps it up relentlessly until the very end -- when Gibson and daughter depart humanity and the hospital he's dying in, strolling past the hospital staff in joyful invisibility.
Get any of these masterpieces at Netflix. You can thank me afterwards.