I have a few favourites
The Fountain - Hugh Jackman and Rachel Weiss. It's a beautiful and sad love story but entwines with so many themes, including the tree of life being tied to her life force. It's very beautifully done. I ball my eyes out every time!
Contact - While there are some things that irk me about the movie adaption (compared to the book), for the most part I really enjoyed it. They kept the important messages relatively intact and every single time Elanore Arroway hears that first thrumming of the signal, I get the most intense goosebumps all over my skin.
Amelie - A french subtitle film featuring Audrey Tautou. Maybe it's because she's so whimsical and the story is so strange and yet so romantic. And the music score was composed by Yann Tiersen who has become a much loved favourite of mine (I saw him in concert a couple of years ago!) A close second is A Very Long Engagement, which also stars Audrey Tautou. A really poignant story.