"This Island Earth," the movie Mike and Bots watch, contains some mild violence that now appears generally dated. There's some sci-fi explosions and a battle with an alien near the climax of the film.
All violence in the MST3K scenes are cartoonish and played for laughs:
Dr. Forrester dumps an alien creature into a vat of green liquid.
Dr. Forrester is accidentally hit by a metal pole.
Crow repeatedly smashes a pickax against the floor to try and dig through the satellite.
Dr. Forrester cuts Mike and the Bots' air supply off, almost killing them.
Tom Servo's plastic arm is ripped off.
Dr. Forrester's movie projector overheats and catches on fire, which spreads to his arm. He repeatedly smacks it to try and douse the flames.
Mike decides to pilot the ship, but accidentally crashes into the Hubble. He then takes control the manipulator arms to try and pick it up gently, but tears a hole in it by accident. He lets it go, but instead of staying in space, it hurtles toward earth and we hear it burning up, but we don't see the impact.
Tom Servo is attacked by lasers and his head explodes. Dr. Forrester takes control of the laser and wildly fires lasers everywhere.