Bookman  Suggested by Ray166 

I have Googled it for you and this is what came up.... In the mid-70s, when The Muppet Show premiered, it was still fairly common for movie and TV show titles to be handlettered, as this one was. Most of the letters have the thick, bracketed serifs characteristic of ITC Bookman, which was very much in vogue in the 70s. There's still subtle differences, for copyright purposes, but I feel this font should help you.