The goal of each level is to steal one of the sheep from Sam Sheepdog's flock without him noticing and escort it to a marked area. However, once inside, the sheep is revealed to be Sam in disguise, who grabs Ralph and prepares to beat him revengefully when Ralph's alarm clock sounds and he wakes up from his sleep, revealing that the game's events were only a dream. Ralph eventually completes his task and is returned home by Marvin along with the stranded sheep.
Marvin forcibly takes Ralph to Planet X with the task of recovering the Martians. Despite many obstacles and encounters with various characters such as Porky Pig, Elmer Fudd, Yosemite Sam, Gossamer, Toro and Road Runner, Ralph is finally able to steal Sam's entire flock, but as he is declared the winner, Marvin the Martian gatecrashes the show, angry at Ralph and Daffy because a specific sheep that Ralph was forced to fire into the sky using Yosemite Sam's cannon in order to win actually landed on Planet X while Marvin was experimenting with his instant Martians, causing a serious accident which led to the Martians scattering across the planet.
