|No.. It's not Jazz Jackrabbit, unless there's a version where he's a blue rabbit, who collects water and carrots for health?|
I pretty much remember the opening scene where the blue rabbit gets a call on his cell, something about all the carrots being stolen from the store house; I remember him in a sports car (red??) driving around the coast with his ears flapping in the wind.
I remember there were orbs in the game that made you speed up, or jump really high.
One of the later levels was set in a desert like setting, and one of the enemies(reptile/dog thing) was on top of a big boulder and could roll down slopes after you unless you got out of the way..
I possibly played it on DOS, but I'm not sure... as I can't find it on any DOS game sites. *sigh*