Not bawled my eyes out..but tearful at:
Toy Story 3 (the finale when Andy gives away his toys, although the furnace scene affected me like nothing I've ever seen in the cinema).
Forrest Gump ("You died on a Saturday morning..")
The Shawshank Redemption (the hug on the beach)
Gladiator ("Go to them")
Also, I maintain that Marley and Me is a pretty awful movie, but the last five minutes...well, as a dog-lover, that got to me.