I am not the weepy kind, being a northener to the core. Tearjerkers are rare in Scandinavian film history for the same cultural reason. The one notable exception that springs to mind is Dancer in the Dark (Lars von Trier), but I thought that one was too melodramatic.
Films that have moved me (if not to tears) would be, for example, Opname (1979), which I find much more believable than Terms of Endearment, and the film every American has seen: It's a Wonderful Life (1946, did nobody mention that one? After Old yeller I thought this was the most cried over film in Hollywood history even though nobody dies).
Old Yeller, E.T. and Bambi didn't do anything for me, but The Green Mile was pretty moving and Beaches too (I love Bette Midler as a singer).
I think that next to this thread, there should be a thread about the ultimate feel-good movies (would be welcome as it is the season for it, and there are plenty of reasons to feel bad on the nightly news).