I have cried watching a bunch of different anime like One Piece, Now and Then Here and There, FMA, Gundam, etc. It's kind of why I watch anime alone. I can wallow in my tears without saying I have allergies or something.
I can't think of an anime at the drop of a hat, but strangely enough, even not really being my genre taste, I couldn't put the manga Fruits Basket down and I must have cried at least 3 times through out the whole series.
The only anime that was able to make me cry was when I was a child and watched the movie Pokemon:The first movie. After that I got older and have had animes only make me sad and depressed.
Quite a bit lol zatch bell's ending actually had me in tears, ace's death in one piece, the ending to Rave master, and my man Maes dying in FMA had me in tears mostly becasue of his daughter
If there was one anime that brought me to tears by the end it was called H2O: Footprints in the Sand i just fell in love with all the characters and by the end i was in tears but any anime that you get attached to that one character he/she gets offed its just tear jerking T_T
Angel Beats, manly tears were almost shed, which is the closest i've gotten in years, says alot about the feels from that show, + several others but can't think of all of them off the bat
The first time i cried from an anime was the ending of the second season of Zero no Tsukaima and AnoHana, surprisingly Clannad didn't make me cry. I've cried from a few mangas and a webtoon too.