Any list like this is bound to be subjective, but here goes:

The first foreign language film I remember seeing was Fellini-Satyricon, and I was blown away by the imagery and the general weirdness, I guess. Later I saw La Dolce Vita, 8 1/2, Amarcord, etc. and  Fellini's warmth and humanist outlook really grew on me. I also began to appreciate Bergman's stuff, especially The Seventh Seal, Wild Strawberries, Through a Glass, Darkly, and The Virgin Spring. Then I saw films by the two guys who are probably my two favorite directors of all time, Wenders and Kurosawa. 

For Wenders, Kings of the Road, The American Friend, and Der Himmel Uber Berlin (Wings of Desire) are the ones that affected me the most (well, Paris, Texas is my fave, but it's in English and was shot in the U.S., so I don't think it counts). For Kurosawa, the big epics were what struck me first - Seven Samurai, Kagemusha, and Ran. But Rashoman, High and Low, and Ikuru are also wonderful, if more low-key.

Obviously I've broadened my viewing a lot more since seeing the aforementioned films, but lately the ones that I've seen that have moved me especially are:

Unagi (Imamura)
The Red Balloon
Beau Travail (Denis)
Deserto Rosso (Antonioni) - old, but I only recently saw it

These lists could go on forever, and maybe they will!
