While not George Cukor's final film, his adaptation of My Fair Lady is in many ways his swan song and won him an Oscar for Best Director. Though the film is far from perfect (it's a bit bloated at 170 minutes), it's a stylish piece of work with plenty to its credit.
Technically, Chicago won the Tony for Best Revival of a Musical, but it still deserves mention here both for being hugely entertaining and for bringing the splashy, live action, Hollywood musical back into the spotlight - even if only briefly.
Though a decent sized hit when it was released in 1971 and nominated for 8 Oscars, including Best Picture (it won 3), Norman Jewison's adaptation of Fiddler on the Roof doesn't seem be talked about much these days, but it remains a great film and one well worth revisiting.
One of the greatest and most influential movie musicals ever made (not to mention being insanely entertaining), Cabaret sang and danced its way into battle with The Godfather at the 1973 Oscars and more than held its own, walking away with 8 Oscars, including Best Director for Bob Fosse.
One of the most enduring movie musicals ever made, The Sound of Music was named Best Picture in 1965, five years after the stage version tied (with Fiorello!) for the Best Musical Tony. In addition to winning 5 Oscars and becoming a perennial favorite thanks to being broadcast on TV every holiday season, it's also one of the most financially successful films of all time, coming in behind only Gone with the Wind and Star Wars in terms of domestic gross once adjusted for inflation.