Reggie Watts – The Bomb Song

Recorded for Comedy Bang! Bang!, featuring Roland and Curt from Tears for Fears
The Jewbadours – Thank You for Being a Friend
Buy it from Bandcamp
Used as the theme to Golden Girls
Steven Page – The Illegal Eater

Stop the Pigeon

The theme to Dastardly and Muttley in Their Flying Machines
Freelance Hellraiser – Grammar School (Nelly vs Grange Hill)

Geraldine – The Winners Song

from Britain’s Got the Pop Factor
Terry Bush – Maybe Tomorrow
https://www.youtube.com/watch?v=aFZKlfRrGbw
The theme to The Littlest Hobo, suggested by @bounder