12 Monkeys
12 Monkeys is another time travel movie that leaves a lot more questions than answers. Unlike most movies that deal with time travel, this film explores the idea of not letting time travelers in the past affect the future. The twist in the film, which a lot of people miss, actually happens at the beginning of the movie.
Time Loop
When Cole was young, he witnessed an unknown man die and had no idea what happened. This scene is at the beginning of the film. Fast forward to the end, and Cole goes back in time where he gets shot and dies after he attacks Dr. Peters. The reason that time travelers don't affect the future is that they were always there, in a bizarre time loop.