Thirty years ago:
Incidentally, this very cartoon -- this self-same one you've just read -- led to the creation of The Simpsons. Producer James L. Brooks happened to see this cartoon and got in contact with its creator, Matt Groening, about producing some interstitial animation for The Tracey Ullman Show. Groening took him up on the offer, of course, and the result was The Simpsons, which spent a couple of seasons as a feature on Ullman before getting its own spinoff series in 1989.
Here's a death-themed cartoon from the Ullman era, complete with a mention of zombie movies! Enjoy!