Yes, I am really not joking The Simpsons who seemly have done everything actually did a furry episode… In a way.
The episode was a part of the Treehouse of Horror 13 airing Nov 3, 2002 it was the 3rd of 3 segments.
Send in The Clones
The Fright to Creep and Scare Harms
The Island of Dr. Hibbert
Obviously a parody of The Island of Dr. Moreau by HG Wells. The episode actually had the characters looking more like fursonas rather than creatures of horror
Take this one scene
and This I know it’s just a clip but it shows more detail
I know the full episode can be found elsewhere or on Disney+ but it’s well worth checking out, and it has it’s own take on whether or not fursonas should wear any clothes.