5 Centimeters Per Second, Voices of a Distant Star and The Place Promised in our Early Days (Pretty much the entire runtime.) :cry:
Buffy the Vampire Slayer
I know there are several anime that have made me tear up, I just can't think of any but Escaflowne right now.
EDIT: There are also other movies, but my mind's blanking. (I put spoiler reasons for each of the above, all prettiful and typed out, but GS is crap with spoiler tags and it would Preview, but not Submit, as per usual.