"OH GOD DELICOUS FOUR EPISODES OF SOUL EATER! *nosebleed*"
Evangelion 1.0: You Are (Not) Alone
The first four episodes of Soul Eater are pretty strong, each of the first three introducing a main student/weapon duo (or trio, in the case of Death the Kid/ Patty/ Liz), and the fourth is when they all group together to work on a single case.
Also of note from FUNimation: the first nine minutes of Evangelion 1.0 You Are (Not) Alone are now also online at the site as well. So check Eva out today, and check Soul Eater out tomorrow, and come back here and tell us what you think!
I would actually say Sayonara Zetsubou-Sensei would be closer to Burton-esque, although it's a little bit more directly comedy than his works I think.