While walking in a forest, Bugs Bunny wonders aloud how everyone is out to get everyone else; this is illustrated by hostile behavior as Bugs interacts with, among other things, a rock and a butterfly. He sees a carrot and begins to eat it, unaware that it is a trap set by Marvin the Martian.
Marvin's purpose for capturing Bugs with what Marvin explains is an "ACME Rack and Pinion Super Tranquilizing Carrot" is to provide a playmate for Hugo the Abominable Snowman on Mars. After Bugs awakens and realizes where he is, Marvin explains his rationale before turning Hugo loose on Bugs. "Oh no, not again!" cries Bugs. Hugo reprises his intention to "hug him and squeeze him and name him George." Bugs regains the upper hand on his captors by suggesting to Hugo that he needs a robot; Marvin attempts to get away but Hugo reaches into the spaceship and repeats, "I will call him George." When an agitated Marvin demands that Hugo cease his behavior, saying "I am not now nor have I ever been a robot", an angry Hugo spanks Marvin. "Not a robot, George? Then I shall have to punish you good."
Bugs whispers in Hugo's ear, suggesting something that Marvin would be good at. On Hugo's wrist, he proudly displays his new "Mickey Martian" wristwatch. Bugs climbs into the spacecraft and asks Hugo to practice his Frisbee toss by hurling the ship toward the Earth. As Bugs travels back home, he states that he shouldn't trust any strange carrots before admitting he is also a "flying object lesson".
- The cartoon was part of the television special Bugs Bunny's Bustin' Out All Over on CBS, which aired 21 May 1980.
- This marks the first appearance of Marvin the Martian since 1963.
- This is also the first time Marvin is given his name, "Marvin the Martian", as in his previous shorts, he was left unnamed.
- "Spaced Out Bunny" is the last Warner Brothers-released short to have Mel Blanc voicing Bugs.
- The Mickey Martian watch is a reference to the Mickey Mouse watch.
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