Personally I am not fond of musicals made into movies. I prefer musicals in the theater and movies on the screen, even though I have enjoyed many movies that were based on musicals. The successful ones are:
Chicago (I felt id did not deserve the best picture Oscar)
The sound of music (loved it!)
My Fair Lady (loved this too!)
Phantom of the opera (probably not as successful as many others; I liked it a lot better live)
Oliver! (I only vaguely remember the movie, and never saw it live)
South Pacific (IMO this one was better on the silver screen due to the magnificent scenery)
Mama Mia! (not that successful, but I liked it- may have been better in a theater)
Beauty and the beast (definitely preferred the live theater to the animated movie)
There is a lot of talk about the about to be released Les Miserable, and it could be really good.
Which ones did I miss? I am sure there are many.