This is new to me: in 2007 Jay Electronica released Act I: Eternal Sunshine (The Pledge), backed by Jon Brion's score.
Thanks to Tram for that one!
In other music news, singer-songwriter Ryan Tanner won the Grand Prize for the American Songwriter Lyric Contest back in 2010. His new album Promised Land came out last month, and American Songwriter.com says:
In the liner notes, Tanner writes that the album was inspired by a lecture that screenwriter Charlie Kaufman (Being John Malkovich, Eternal Sunshine Of The Spotless Mind) delivered at the British Academy of Film and Television arts in 2011. (Source)
You can read a review here.