Well you did ask... We didn't get a TV till 1957 when I was 11. Favourites from that time include Sooty, Noggin the Nog, Captain Pugwash, Huckeberry Hound, Ivanhoe, Robin Hood, William Tell, the early Gerry Anderson series Torchy the Battery Boy and Four Feather Falls, and a sci fi serial called The Red Grass about a waving red grass that seeds itself all over the world and is fatal to the touch:
A group of ordinary young people with no special expertise or knowledge struggle to understand the Red Grass, where it came from, what its purpose is on Earth and how to combat its spread and wipe it out before it kills the last human beings to survive. I vividly remember that one.
I was a teenager by the 60s but used to enjoy a programme for younger children called Five O'clock Club with puppets Ollie Beak and Fred Barker and Muriel Young, Wally Whyton and Bert Weedon.
I never watched Worzel Gummidge but I was Aunt Sally at one time... my Partner's surname is Gammage and at one pub in the New Forest we used to go to every Friday he was always known as Worzel - especially as he comes from the West Country - so I was Aunt Sally, still am if we go back there and any of the old-timers are still about.
Re Margaret's clip about Disney films - it seems some folks have nothing better to do than look out for things like this (not you, Margaret!). A similar thing happened with Captain Pugwash:
snopes.com: Captain Pugwash Double Meanings