I Feel Pretty - from Flower Drum Song
THere are also a lot of Disney Musicals now like Mary Poppins, Lion King, Beauty and the Beast, Little Mermaid, etc. Those could be fun.
There are a lot of other songs that are popular songs, but the musicals aren't as popular as the songs are. Let me know if you need any more. How far back are you looking to go for songs and popularity with people that people would know.