(500) Days of Summer (obvious one)
Trust
Kidnapped

I could list so many more if my memory was better

And here's a five minute scene of Martyrs. If you like it, you should watch the whole film

I think That Thing You Do! started off as an indie film. Even if it wasn't you should still watch it!

Mean Creek

Adventureland

Dancer in the Dark

This movie needs a disclaimer if you're gonna recommend it. It's depressing as hell.

Brick (2005)

incredible storyline, incredible score, a twist ending, great script.

minus one: english is not my first language. and im okay with the usual english speaking movies, but this movie uses too much dialogue using some sort of weird underground slang. i need to search the meaning on imdb lulz

edit: and **** that Von Trier movie, i couldn't breath for a few seconds from the ending alone. a mood breaker. but a great movie nonetheless

Some Girl & When Love Comes

I know But, anyways, it's very beautiful