Think of this one as a Robot Chickensketch, without the stop-motion animation. It's cute, it's funny, it has a storyline most Trekkies will appreciate, and it features a surprising cameo appearance by a certain fab group of four musicians who were a pretty big deal in the 1960s when they invaded from their British homeland, but who I shall not name here, so as not to spoil the surprise.
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The Beatles. It's the Beatles. The Beatles are in this one, about halfway through. Please do enjoy Star Trek: The Mego Picture: