Some that come to mind are actually Asian movies. Since the US can't come up with anything 'original' nowadays.
Oldboy - A twisted, emotional thriller.
My Sassy Girl - Fun little comedy.
If you're not into the subtitles stuff, they are being remade in America. Ultimately they'll probably suck unless they can pull off a "The Departed" (which is also a remake of an Asian movie). Defnitely recommend those films though, if it's your thing.