That would be the Jim Henson Hour. I have no idea why I said house other than that was an earlier potential title.

Yep. the White lion which was used in the Storyteller episode "The True Bride" was in there.

Tales of the Tinkerdee was an original series about a bunch of strange characters that made up the kingdom of Tinkerdee. The first episode was about the princess's birthday party which got progressively funnier as it went on.