"The Color of Paradise" -- it's subtitled, from Iran, and the end had me weeping silently. I liked the directors' earlier film, "Children of Heaven" too, but it's not a tearjerker (just thought provoking!)

I cry whenever I watch "1776" but only during one song.

"Old Yeller"
"The Earthling"
"Greyfriars' Bobby"

I cried watching "Beaches" and "The Shootist" in the theater, but I've not seen either movie since, so I don't know if it was just that I was young and gullible.