The Frenchies: Betty Blue (who didn't want to be a self-destructive sexually voracious ingenue? I imagine this movie is terrible now)
La Femme Nikita - loved the style. (both this and betty had a moment wherein a worldly vixen had a birthday and they would say "congratulations! you are 20!" and the viewer would be all shocked that she was so young yet so...old....)
Diva - Another Frech movie that has stood the test of time and is the perfect capsule of French 80's new wave.
I guess I should say something about enjoying Godard or Truffault, but I am not sure if I actually LOVED Jules et Jim et al or if I just really wanted to get all the reference points.
I did, however, love Breathless.
Jesus of Montreal (French Canadian, that is)
Delicatessen
The Red, White, and Blue trilogy. I saw all three and then I sat through a screening of all three back-to-back, but but only made it through two.
The Limeys: Hope and Glory: Seriously, seriously heart-warming and funny movie about a family in London during the blitz. Withnail and I: Damn funny classic. My beautiful Laundrette & London Kills Me - or anything my Hanif Kureishi Drowning by Numbers Secrets & Lies (or pretty much anything by Mike Leigh)
Other foreigny stuff: Il Postino - damn, I bawled Babette's Feast Eat, Drink, Man Woman Chungking Express Wings of Desire - at times, this was unbearably pretentious. Raise the Red Lantern
David Lynch: Blue Velvet, Mulholland Drive and Wild at Heart.
Neurotica: The Graduate Manhattan Annie Hall Crimes and Misdemeanours
Horror: The Shining The Changeling The Seventh Seal (I probably missed the allegory, but...) The Tenant (ok, I wish i had seen that in university, but I only just saw it last year)
Americana Chinatown Bladerunner Apocalypse Now Taxi Driver