The credits play, but there's tons of dynamite there. After spilling all of the paint Bugs then has to defeat Drip-Along Daffy if all the paint hasn't been spilled or Robin Hood Daffy if all the paint was spilled as well as avoid Duck Dodgers who can't be defeated at all and can kill Bugs in one hit with his laser blaster. In the final level, Bugs has to spill all of the paint Daffy uses while avoiding his 3 alter egos.

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. The levels vary from simply going left to right to making your way down while avoiding enemies who become harder to defeat such as pigs who harm Bugs with various projectiles coming from their slingshots, robots who will electrocute Bugs if he gets too close, and black cats that can cause Bugs to get crushed by various objects such as safes and horses due to superstition if he crosses their path. Many of whom function as a boss towards the end of a level. The game features characters such as Elmer Fudd, Marvin the Martian, Yosemite Sam, the Tasmanian Devil, and Wile E. 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. Bugs can jump, dive into holes, and attack by either jumping, kicking, pieing, or perform a spin attack that drains his health which is in the form of a carrot. 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. The characters in the game were voiced by Greg Burson.

The game's title is derived from the 1955 animated short of the same name, which follows a similar plot of Bugs at the mercy of an antagonistic animator, revealed to be Elmer Fudd. The player controls Bugs Bunny as he fights traditional Looney Tunes villains in order to confront the main villain of the story, animator Daffy Duck. Bugs Bunny Rabbit Rampage is an action video game developed by Viacom New Media (a then-sister company to Nickelodeon, who had broadcast Looney Tunes cartoons at the time of the game's release) and published by Sunsoft released exclusively for the SNES in 1994.

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