It would probably be easier to post things that DIDN'T make me cry... I'm such a pussy.
Elfen Lied made me cry, chobits made me cry, I cried when sakaki said goodbye to that wildcat on the island, nearly cried because I was so happy for her when it followed her home. Also pretty much any time a character has died, so GL, cowboy bebop, several times during FMA.
I need a hug ;_;