The Wonders via last.fm
Call me a loser, but I didn't know this was a true story until they had the bios at the end.That Thing You Do! is a tribute to the music of the early '60s and is a cute, funny, and engaging story about a band called "The Wonders," which were, interestingly enough, 'one-hit wonders."
Tom Hanks was in it (and apparently wrote/directed it as well), and the movie spotlights a unique moment in American history (and musical history too, I suppose).
Another great random appearance via Netflix.