Licensing the rights to a successful movie or television show and creating a video game somewhat based on the original production is a long-practiced art in the video game industry, although it's taken decades for licensed titles to turn out worthwhile. While today's games such as Back to the Future: The Game and Ghostbusters: The Video Game understand the source material and were made with input from the properties' original creators, once upon a time it was enough to slap a popular name on any half-finished piece of trash and sell it for $49.99 each. For instance, the Nintendo Entertainment System hosted pitiful games loosely based on films such as Friday The 13th, Back to the Future Part II, Ghostbusters 2, Die Hard, Platoon, Total Recall, and even Hudson Hawk. However, plenty of worthwhile properties were left out of the licensing bonanza. Why was there never a NES game based on, say, Hellraiser or Videodrome? VGJunk has cobbled up some mock title screens for NES games based on licensed properties. that don't actually exist. Night of the Living Dead, American Psycho, and even my beloved Mystery Science Theater 3000 are all given the 8-bit treatment.
All I can imagine is that an MST3K videogame for the NES would play like a primitive version of Guitar Hero, but instead of pressing a button to play a musical note you have to press it to make jokes at the expense of a cut-scene that is playing in the background. The films start off gentle, perhaps with something like Jack Frost, but they get more and more painful to watch until the final confrontation with Manos: The Hands of Fate.
There were several cancelled MST3K projects back in the early 1990s such as comic book that would repurpose old Silver Age comics with Mike and the 'bots drawn over parts of the frame with caption bubble quips and an interactive CD-ROM in the style of Monty Python's Complete Waste of Time (featuring the formerly lost Assignment: Venezuela short), but an actual video game was never in the cards as far as I know. It's a shame that it never came to pass. I'd probably still play it today if it were a real product. I'd like to think that somewhere in a parallel reality where this game does exist, I am.