UPDATE: I've uploaded the sheet music here: http://imgur.com/a/mb2JG. Hopefully this makes it easier for people to get. I went through the comments and tried to send it to everyone so hopefully I didn't miss anyone. Sorry about how late some of my replies were! Please let me know if this link goes down. I figured imgur might be more stable than some random filesharing service, but who knows.
This is the piano version of "Fly Me to the Moon" used in the Evangelion episode 20 ending.
The original was an improvisation so I had to transcribe it, but overall I think it's relatively close to the original.