1. Standard Iterative Branching model
   Source Code
   Butterfly Effect
   Next
   Edge of Tomorrow
   Donnie Darko (recommended by dhetti, pending review)
2. Scientific Space Time (Strong General Relativity) model
   Interstellar
2b. Less-scientific Space Time model
   Contact
3. Hybrid model
   Terminator, the
   Star Trek
   Looper (change the past f8cking change the present)
   Harry Potter
4. Replication model
   Oblivion
   Moon
5. Simulation based model
   Thriteenth Floor, the
   Matrix
6. Infinite Loop model
   Triangle
6b. Cassandra (travels back unable to fix problem/just to repeat the misfortune)
   Twelve Monkeys
7. No time-travel
   Jurassic Park
   Independence Day
   Starship Troopers (non-scientific warp drive involved)

(To be continued...)