Buddy flopped on Broadway, but did pretty well on tour. There was also Play On, which flopped on Broadway and Return to the Forbidden Planet, which was pretty successful in the UK, but flopped Off-Broadway. And if we're counting biographical musicals, there was also the flop Jerry Lee Lewis musical in London called Great Balls of Fire. I believe there is a 5-track CD from the show floating around out there.
Swinging on a Star and Smokey Joe's Cafe were reviews, not a book shows. Crazy For You had music that was previously written for book shows and most of its score and much of its plot came from Girl Crazy. It was more of a revisal than a jukebox musical. I know there was a semi-biographical musical called Elvis: The Legend Lives! that ran briefly on Broadway and toured under the name Elvis!
"What can you expect from a bunch of seitan worshippers?" - Reginald Tresilian