Miss Pettigrew Lives for a Day music?

Question

The songs like, Brother can you spare a dime, and Cocktail swing, what is the genre of those songs and what other music is like that? What other artists have songs that sound similar to that?

Answer 1

That would be either Swing or Jazz, there are loads of artist who perform that kind of music.

Start searching swing and work from there, you will find so much!