Note: I thought I was able to fulfill this task as it was, but almost every song I thought were from musicals are actually from films about music, according with IMDB.
So I gave up with the musicals and here is my
Top 5 songs from movies (somehow) about music
1. Transmission, from "Control"
2. "When your mind is made up, from "Once"
3. Mr. Postman, from "Backbeat"
4. Treat her right, from "The Commitments"
5. Fever Dog, from "Almost Famous"