At a day care center I was in (10 years ago or so) I always saw these people playing this one game. I'm almost positive it was for the PC.
It was a platforming game and most of the time they played as an unnaturally colored anthro rabbit (I'm pretty sure) but there was a different main character that they would sometimes choose.
I think you might've carried a laser gun in the game (maybe)
Can any of you remember an old game like this?
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Again, I'm no help at all.