Anime Music Videos. A popular pastime of gaijin (i.e., non-Japanese) anime geeks is editing together video from one or many anime to go along with a song. The resultant monster is an AMV, and making these things is an art in and of itself. Evangelion music videos are extremely commonplace, but only a few are truly great.
Song: Queen "Bohemian Rhapsody"
A match made in AMV heaven -- with editing to boot. Only gets better the more familiar with Eva the viewer becomes. As much a masterpiece in its field as both of its source materials.
Creator: Kevin Caldwell
Song: Rammstein "Engel"
Features Asuka as the (German) male vocals and an entirely hilarious selection of the cast as the female chorus. Highly recommended.
Song: Muse "Thoughts of a Dying Atheist"
A Beautiful Failure of a Film
Creator: Studio Echo
Song: Guster "Airport Song"
I Can Feel You
Song: Lustral "Everytime" (Mike Koglin Remix)
Creator: Black Sun Productions
Song:A Perfect Circle "Counting Bodies Lke Sheep To The Rhythm Of The War Drums"
Song: Linkin Park "Numb"
Go to animemusicvideos.org for more info (along with tons of shiznat to download).