Okay, then how about...THIS!!
Kotoura-san, Elfen Lied, Gurren Lagann (because of the ending), Sayonara Zetsubou-sensei, Now and then here and there, Shiki, Darker than black, Gantz, Neon Genesis Evangelion...?
You knew that last one was coming, but its mostly angst, which is more a like tween-flavored version of despair.