I think a commuting flight attendant for an airline that does a bunch of turns in a day would be the winner. I heard stories of flight attendants would leave home in the morning, "commute" on 3 or 4 legs to work 6 to 8 very short legs to random airports.
Now would the visit need to be completed within 24 hours? or can it be more than 24 hours? Because if you travel consistently east to west its possible to travel for more than 24 hours and still be in the same calendar day. Same case if you travel east over the international date line and work your way west once your on the other side.