I will keep adding as I keep remembering.
One Missed Call which is based on the japanese film of the same name.
In this remake of the Japanese horror film "Chakushin Ari" (2003), several people start receiving voice-mails from their future selves -- messages which include the date, time, and some of the details of their deaths.
Also, one that I found particularly interesting :
Tetsuo : The Iron Man (Nothing to do with Marvel comics)
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A strange man known only as the "metal fetishist", who seems to have an insane compulsion to stick scrap metal into his body, is hit and possibly killed by a Japanese "salaryman", out for a drive with his girlfriend. The salaryman then notices that he is being slowly overtaken by some kind of disease that is turning his body into scrap metal, and that his nemesis is not in fact dead but is somehow masterminding and guiding his rage and frustration-fueled transformation.
The last one I liked a lot because its shot in a B-grade grindhouse fashion and black and white and the soundtrack has some amazing industrial tracks.
It has two sequels :
Tetsuo II : Body Hammer
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Sequel to "Tetsou" this time has the Iron Man transforming into cyberkinetic gun when a gang of vicious skinheads kidnap his son. When the skinheads capture him, they begin to experiment on him...speeding up the mutative process!
Tetsuo : The Bullet Man
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This last one is in English and features music by Trent Reznor.