Edit: love story is only light in these movies:
Returner - action, adventure, scifi - this is my favourite time travel movie. It is old, but good.
Thermae Romae - fantasy comedy
These are the only movies I saw. If you are interested I can also recommend some dramas (otherwise ignore them): :)
Ashi Girl - JIN - Splash Splash LOVE - Toki wo Kakeru Shoujo
Best love story would be: Splash Splash Love, it has only 2 episodes, so you can consider it to be a movie with 2 parts. :) Ashi girl is also good and has a movie as sequel.