From the 1940's -
Al Jolson 1930 -40's Anniversary Waltz, The Spaniard that blighted my life and Waiting for the Robert E. Lee. A man who made the right decision - to star in a 'Talkie' - Milton Berle turned it down. What a mistake. I remember seeing the film The Al Jolson Story and one of his innovations was to build a runway from the stage out into the audience.
Doris Day and Quicksilver from 1949. She of course was a big star in music and films for over 40 years, often appearing with the Rock Hudson.
Judy Garland performs Meet me in St. Louis from the 1944 film. I remember seeing the film as a child and thought it was wonderful. Now it seems stilted.
(Listen from the 11 April link)