Marvin the Martian is monitoring through his telescope a rocket launch on Earth. The rocket heads straight for him and lands on Mars. The only occupant is Bugs Bunny, lured into Cape Canaveral by a carrot and sent to Mars as an expendable "astro-rabbit". Bugs is to claim Mars in the name of the Earth, but Marvin won't allow an Earth creature to contaminate his atmosphere. He trains a time-projector gun on Bugs and reverts the bunny to a Neanderthal Rabbit, who crushes Marvin with one hand.

It's holiday time, and while New York City bustles with yuletide celebrations, the Pink Panther suffers one misadventure after another... all in hopes of finding a warm heart and a warm meal! Finally, the Panther learns the true meaning of Christmas... and friendship.

Daffy Duck and Speedy Gonzales find a treasure map that leads them to a wishing well, which for a penny will grant any wish (through old cartoon footage). Daffy sets up a resort around the well and various Looney Tunes characters have their dreams come true. Meanwhile, Yosemite Sam and the Tasmanian Devil hunt for the varmints who stole their treasure map!

The Bugs Bunny/Road Runner Movie is basically a collection of Warner Bros. short cartoon features, "starring" the likes of Daffy Duck, Porky Pig and Wile.E.Coyote. These animations are interspersed by Bugs Bunny reminiscing on past events and providing links between the individual animations which are otherwise unconnected. The Road Runner feature at the end consists of sketches from various RR separates (well it does in the 78-minute version anyway).