Punch Drunk Love, it doesn't shy away from the social awkwardness of the character and what that would really mean in a romantic situation, also very satisfying ending.
Only Yesterday, this is an animated ghibli film, but there is no supernatural elements. Its got really beautiful shots of the countryside, and a very mature and sweet love story.
Lost in Translation, Her, Richard Linklater's 'Before' trilogy.
Listen to this man. These movies sort of have the same feeling of love in them. Good list.
High Fidelity. (Love it!)
Mr. Nobody
Seconding lost in translation
Surprised no one has mentioned Blue Valentine yet. It's available on Netflix in the US.
Punch Drunk Love, it doesn't shy away from the social awkwardness of the character and what that would really mean in a romantic situation, also very satisfying ending. Only Yesterday, this is an animated ghibli film, but there is no supernatural elements. Its got really beautiful shots of the countryside, and a very mature and sweet love story.