So here's the list of tearjerkers I've compiled, along with the source for each recommendation:

Dancer in the Dark (everyone I know)
Saving Private Ryan (me)
The Last Temptation of Christ (also me)
Beauty and the Beast (me at age 12)
The English Patient (Dave)
8 Seconds (Nat)
Prancer (Bessie)
Anne of Green Gables (Bessie)

and finally...

A Knight's Tale (Haiwen, who has an amazing pathetic story about this movie that he probably won't want to tell any of you)

Kind of a mixed bag, obviously. I've told my mom to just rent Love Story and call it a day.