[1][2] The goal of the game is to guide Bugs who is trapped by Daffy Duck in a painting and has to traverse through various stages based on old Looney Tunes shorts.

He can regain his health by finding carrots which become scarce as the game progresses as well as items that either stun or kill enemies in one hit.

The game features characters such as Elmer Fudd, Marvin the Martian, Yosemite Sam, the Tasmanian Devil, and Wile E. Coyote.

In some levels, you have to learn how to out think and out maneuver the boss such as Toro the Bull from Bully For Bugs and Taz while also figuring out how to damage them.

Bugs Bunny Rabbit Rampage garnered a highly favorable 4.3-out-of-five review from Nintendo Power, giving much praise to the graphics, animation, variety of level types and audio and writing that "Sunsoft uses the Looney Tune license for the maximum effect and fun".