The short answer: No, rabbits absolutely do not smell. Besides grooming themselves frequently like cats, and they don't have the body odor that dogs tend to have. So, nopey-nope, rabbits don't smell at all.
The long answer: Rabbits groom themselves frequently and they don't have body odor - those are facts. Here are what fellow rabbit owners have had to say on the scent of their long-eared companions:
"Mine smell warm, sweet and soft!" - Maggie Allinson
"They smell like rainbows and sunshine." - Lisa Harder
"It's a fresh smell like fresh linen." - Colleen Fox
In general, rabbits have a mild, fresh smell. For me, I would describe my rabbits as soft, warm tufts of grass. ❤
But there are several reasons as to why people may have associated unpleasant odors with rabbits ...