-Fushigi Yuugi. I sobbed for HOURS after I saw the end of the TV show.
-Full Metal Alchemist - many, many reasons, especially ep 25.
-A very touching episode of Doremi. You didn't need to have it subbed to know what was happening...
I have not seen Grave of the Fireflies for the very reason that I would be an emotional train wreck after seeing it.