This is the one from 1987 that was helmed by Ralph Bakshi, who got his start on the original Mighty Mouse cartoons. The previous version by Filmation was very cheesy and very bland (and the animation sucked). Bakshi did some retconning with Mighty Mouse and made him hip and funny. Very funny. The show had a Rocky And Bullwinkle vibe and rapid-fire pacing that appealed to the grown-ups more than the kids (Fox ran the show for a few months, and canned it when they found the audience wasn't kids but late teens to early 30's), a combination that would not be seen in animation again until Sam And Max -- Freelance Police hit the airwaves. The show featured such gags as Mighty Mouse torturing an informant by showing him his vacation slides, a super villain modeled on Bob Hope, and a parody of Alvin and the Chipmunks that had me laughing until I cried.
The show itself was a training ground for future animators. Among those who graduated from it are John Kricfalusi (Ren And Stimpy, The Ripping Friends), Tim Minton (Tiny Toons), Andrew Stanton (Finding Nemo), and Jim Reardon (Wall-E).
So get ready to experience the magic of what happens when you let people who know how to be funny do what they do best.