"Rhapsody" (1954), starring Elizabeth Taylor too. Cheesy story, but who cares. With good music and beautiful people, this film is a feast for your eyes and ears.
"The piano", starring Holly Hunter. Very good performance. Strong cast, strong direction, and featuring Michael Nyman music. Provoking.
"1900". Nice music by Eric Morricone, but the film sinks as the story somewhat unconvincing. Anyway, nice production and VERY interesting musical numbers (a combination of Gershwin and Chopin! Only Moriccone can pull that off).
Currently just watch a french movie "The beat that my heart skips", a remake of Robert De Nero's "the hands". Indie movie. Hate it very much. Feel that it is a misleading portrayer of musical life.
Some more. "38 little movie about Glenn Gould", "The Red Violin", "Immortal Belove", "Amadeus", "Hilary and Jacky", etc.