Let's see... from all those hours spent glued to Grandma's colour TV (the only one in the street - wow!) as a child -
1.Here is a box, a musical box
Would this be Bagpuss, with the mice & Professor Yaffle?
3.up above the streets and the houses
I'm sure this is Rainbow

8. once upon a time, not so long ago.........
Maybe The Clangers?
9 ..... quicker than the human eye
It's Hong Kong Phooey!

10. close friends get to call him T.C......
Definitely Top Cat

11. when, as if by magic, the shopkeeper appeared
Good old Mr Benn

And now I have the "body swerve" on the brain, but can't identify it... Aaagh!