Hm...since you're all very homophobic I can't say anything yaoi.
So no never. I only watch homo things and one made me (maybe two) made me cry. I'm very sure it was about the one I'm thinking of but the second one I think I did cry I just can't specifically remember it nor can I post any name due to this homophobic situation.
Hmm..no real hetero anime made me cry but I can tell you this:
*googling them brb*
1. Voices of a Distant Star. Rented it when blockbuster was still around.
I believe it's about a young girl space pilot that sends messages to someone but it takes years to get to him. And also I think her body doesn't age? I can't recall. I provided a wiki link.
https://en.m.wikipedia.org/wiki/Voices_of_a_Distant_Star
2. Saikano. It's makes NO SENSE but it's all about that hetero love and shiz (I'm not lesbian I'm just a Fujoshi! XD)
And I dunno. I could watch it again. It just makes me sad mein. :'(
SPOILER:
Aliens are destroying the world, Girl is slowly used by the government, is turned into a cybernetic alien bashing machine, girl poops out nukes, Guy gets bad touch diddles by his teacher when he was a kid, Guy goes through war torn hell, Girl explodes the world, Guy and Girl left in a nothingness of white
You don't even have to tell me how retarded and unclear that sounds. It's just so weird and interesting that I probably got a spot in my heart for it. Because I'm just into that. Very interesting things. Usually spooky. Lol