12 Monkeys: A time travel story about a guy from a post apocalyptic future getting sent back to investigate the past. One of my favorite movies, watch it before you have the plot spoiled~

Interstellar: Dude goes to space to find a new planet for humanity. Time is also involved and it also gets wacky here.

Memento: This movie is presented in the weirdest possible manner; the first scene you see is actually the ending of the story. Then each following scene is the part that took place before the last scene. Plus a couple of flashback scenes thrown in between. It's confusing, but not too confusing. It's fucking awesome.

Groundhog Day: Also kind of time travel related. A guy gets stuck on the same day and is forced to relive it over and over. For me, this feels like one of those movies that are just great inspiration for your own fantasy scenarios. If you could choose a day that you'd live over and over, which day would it be?

Primer: Of loopy wacky and confusing time travel plots, there is no-one better than Primer. Honestly, I like my timelines linear and my time loops stable, but when other approaches are done well, there's no problem. You see, movies like Looper are full of plot holes and they don't care about how they apply time travel. Primer's timeline is not careless, it is just absolutely insane. (Don't read all of that unless you want the plot spoiled, lol.)

Eternal Sunshine of the Spotless Mind: I can't remember what this one was about or if it was any good. I think I thought it was good? In any case, it was weird.

List is vaguely arranged with the ones I liked best at the top.