Since I cry at a lot of movies at least the first time I see them, I'll only do the ones I still cried at when I was it the second or third time.
A Tale of Two Cities
Star Trek 2: The Wrath of Kahn (no matter how silly some of the movies got it still gets me when Spock dies)
I know there are more. My kids think it's funny to get me to cry at movies.