When you find yourself trying to remember a show (or any works) that's on the tip of your tongue but just out of reach, come here - the collective brain of the TVTropes community can probably help. Post all the details you can remember (examples help). If you're looking for a trope, head over to Trope Finder. Have general questions about tropes? Visit Ask The Tropers!
Jim Henson's Mother Goose Stories? http://muppet.wikia.com/wiki/Mother_Goose_Stories
It's the Mother Goose Video Treasury. I had a tape with this sequence on it. Can't find the clips you mentioned, but do any of these characters look familiar?
The Goose was singing the "Some like it hot" song, "Pease Porridge."
https://www.youtube.com/watch?v=kFOLye6YbmY

One more: This one is from my youth, and it's kind of damning, since I remember so much, but so little.
I think it had something to do with Mother Goose and nursery rhymes and fairy tales as a whole. It was live action, or maybe part live action, but I remember one segment where the guy is out in a night gown and a night cap, holding a candle (I think). He is outside in a town, I think the town is a major part of the show, and mostly small, made of props, I think mostly a tan cast.
He is talking to someone or telling us a nursery rhyme, which is:
Some like it hot Some like it cold Some like it in the pot nine days old
This only came up because of a discussion on a forum I go to, which brought up why that rhyme says what it says (family's would keep porridge or stews for days, even generations, sometimes making it a point of pride, and just keep it on the stove and keep adding to it, as a way of preserving food before fridges were invented).
In my youth, I remember it was on a VHS, but I don't remember the title.
Also, I live in the states, and I'm guessing I would've been anywhere from 3-8, r from 1990-1995 (I was an 87 baby.)
Edited by Asuyuka