Two not listed so far; Duckroll got the first one while I was typing up my response, oh well;
Life is Beautiful (1997, Italy) - A romantic comedy turns into a heartbreaking historical drama as a Jewish man woos a schoolteacher away from her fiance, settles down and has a family, only for the horrors of World War II to break out and tear them apart. Bring tissues, it's a hard film to watch.
Gojira (1954, Japan) - I know, you're thinking "Seriously? He suggested a gut-wrenching movie about the Holocaust and follows it up with a goofy giant monster movie?" Bear with me; I know the "monster as metaphor" bit is widely-known, and the film has some pretty dicey special effects (any time the monster is fully lit, especially the first time he shows up and he's a shabby-looking hand puppet). But watch it, and try to get yourself in the mindset of a Japanese viewer in 1954, 9 years after the atomic bombings of Hiroshima and Nagasaki. The scenes of destruction, especially a long, panning shot of Tokyo as it burns, are things that would have been alarmingly familiar. Put yourselves in the shoes of someone who 10 years prior could never have imagined destruction on such an absolute scale, and then watch it lumber slowly like a a dark apocalypse through each scene, moving block by block, with no way to comprehend or control it. And yes, the human drama is good too. Japanese sub only, none of that American hatchet job bullshit. I recommend the Criterion Collection version.
I haven't watched a lot of foreign movies otherwise, though.
