A Clockwork Orange
Breakfast at Tiffany's
V for Vendetta [Well, you've probally seen it, but fricken watch it again]
Metropolis
Memoirs of a Geisha [srsly, not a chick flick]
Across the Universe
Waynes World I & II
Moulin Rouge [You'll be singing the songs for days]
Ferris Bueller's Day Off
Help!
Appleseed [eh, it's not half bad if you watch it subbed]
Hmm.
Metropolis you gotta read up on a bit on Wiki. Really, because something like a quarter of the film has been lost forever, and there's been quite a few shitty remakes. The newest one is digitally remastered, they've added explanation screens for missing parts, etc. So it's your best bet. And it would be amazingly hard to follow if you didn't know a little bit. Haahaa. Amazing movie, however.