It's nearly as impossible as Time Travel itself to recommend movies on the subject of Time Travel to a person.  There are some classics that I recommend you start with:

• 12 Monkeys
• The Time Machine (1960)
• Bill and Ted's Excellent Adventure - this movie delves into cause and effect in much the same way the Back to the Future does, only a whole lot funnier different...
• Time After Time (1979 film) - Jack the Ripper steals a time Machine and travels to the 1970's.
• The Road - (not to be confused with the recent movie of the same name) - although no time travel occurs, voices are heared in the past from an event in the future (cause and effect).
• The Flip side of Dominic Hyde. (Man travels back in time and meets and female ancestor)
• Time Tunnel (and the movie the TV series was based on - The Time Travelers )
• Bring the Jubilee - Novel (cause and effect)
• The Door into Summer - What if?
• Free Live Free - Be careful what you wish for...
• Corridors of Time - cause and effect
• Back to the Future - all - Part one is the introduction to the world of Marty McFly and Doc Emment Brown - Part two deals with Cause and effect on a global scale - Part three, the teacher is saved slightly changing the time line of Hill Valley (Eastwood Ravine)
  

See also

• https://en.wikipedia.org/wiki/Time_travel_in_fiction
• https://en.wikipedia.org/wiki/List_of_time_travel_works_of_fiction