Several flip/flop seats incorporate a removable ice chest for the base. Some you sit on the cushion on the cooler and some have upholstered covers where the cooler is underneath. Of the ones I have seen of this type they all incorporate some sort of aluminum/stainless frame and are kinda high end.
Century boats puts one in their bay boat that I like because the backrest has notches that allow the backrest to be fixed into position. It sits good and you can position the backrest forward if you want something to lean on while standing/driving. Tried to Google it to give you a link but no luck. Just got busy here, I'll try again later.
Draglink- That is the most desireable layout in a center console IMO. Very nice.