In the late 1960s and 70s I was a big fan of the Bonzo Dog Doo-Dah Band, later just the Bonzo Dog Band, or even The Bonzos.
They started as a group doing trad jazz comedy stuff, but this evolved into more rock based material with a definite surreal/funny edge.
The Bonzos were well known. They were in the ITV comedy series Do Not Adjust Your Set with some other famous people, and sang a song in The Beatles’ Magical Mystery Tour. They had one big hit single, I’m The Urban Spaceman, produced by Paul McCartney.