If you do, please share! Time travel is one of my favorite themes.

Right now I'm playing Final Fantasy XIII-2. To my surprise, the game is centered on time traveling!

"Life is Strange" is a unique game about identifying and stopping a serial killer. Your main character is a high school student who suddenly gets the ability to rewind time, so while your choices have an impact on the main story, if you don't like what happens you can "rewind" and try again!

An older game for PS2 called "Shadow of Destiny" is about a man trying to stop his own murder by traveling in time to discover who is trying to get him. (It's also on the PSP.)