Assuming I'm right, here's another.
Dabba-dum dum dum
Dabba dabba dabba dum
Dabba dum dum dum
Dabba dum ba-dum ba-dum
Dabba dum ba-dum ba-dum ba-dum ba-dum ba-dum ba-dum
Babba dum ba-dum ba-dum ba-dum ba-dum
Dum dum

[pen] No yabbas, so it can't be the Flintstones.

[ZK]Dangermouse?

[pen] Easy - Blue Peter! (although you missed off the Brrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr at the start...)

[chalky] YAY! Blind date it is!

[Watty] Aye Aye Cap'n!

[pen] er, actually - now I look at it, it's not Blue Peter (Barnacle Bill), is it?
Dabba dum-dum-dumma
Dumma-dum-dum-dum
Dumma-dummadumma- dumma-dumma dumma-dummma-dum....
It's the good old Sailor's Hornpipe. Hmm. More difficult than it looks, this game.
Meanwhile, another classic sitcom:

 

Yup,that's whole opening theme. Promise.