In Michigan I have heard of drivers getting busted for DUI for golf carts and riding lawn mowers, but those are not to be operated on the public right of way. Also while operating snowmobiles and boats. I have heard of, but not confirmed of a bicylist being busted for DUI. I do know of a bicylist that was cited for driving on the wrong side of the street.
Also in MI any type of scooter, electric bike, mini bike, any thing powered or power assisted is not to be operated on the street and (unless street legal) in some if not all locals can not be operated on sidewalks. Mopeds are OK if it meets certain mandated requirements and restrictions. I think mopeds need a special state sticker and are restricted to age 15 and over.