Evangelion/The Jungle Book
Shinji as Mowgli, Misato as Baloo... Who can't see her singing 'The Bare Necessities'? Kaoru as King Louie maybe, though Rei would be perfectly IC singing 'I Wanna Be Like You' if singing were IC for her. =)
Evangelion/Door to door salesmen
Avongelion. When they knock, you had better answer. =)
Evangelion/The Last Unicorn
The Last Evacorn. It really does work. =) But I don't really want to get into it because... urgh. Bad.
Evangelion/WWF
I know of a cosplay skit with Gendo and Kaji assuming the roles of Steve Austin and The Rock (find it here), but this is something a little different. Shinji's arrival, when he's asked to pilot Unit-01 and is hesitant...
Gendo: "IT DOESN'T MATTER IF YOU PILOT THE EVA!!!"
And one of those meetings with SEELE...
"Take that angel, shine it up real good.. Turn that sumbitch sideways and shove it straight up your candy-ass!"
"Um.. I don't think SEELE will take kindly to that outburst, Ikari."
"And what will the old men do to stop me?"
"They might..."
"It doesn't matter what you think!"
Don't forget the other WWF stars... SEELE as Degeneration S, Cactus Kozo, the Lethal Weapon: Rei Ayanami (with no personality), Kaji Ryoji: The Big Flirt, etc etc