I wish I knew all of them, but I only recognized Dead Leaves @ 1:19, Evangelion (including pieces of the movies) @ 0:16, 1:40, 2:43, 3:05, 3:19, FLCL @ 0:08, 0:53, 2:11, and a couple quick scenes of Diebuster (Gunbuster 2) @ 2:37, 3:08.
@nate90s yo.. the girl sprinting at 0:51 is from an anime called "Battle Athletes Victory" sorry, but Gunbuster was also part of this animation show reel areound 1:13. >.