Making a bed.
You need to manipulate a large sheet, and you probably need to move around, bend down and lean over to reach all the corners. Bonus points for neat hospital corners on a flat sheet.
Putting pillows in pillowcases is another fun one. Usually pretty easy, probably a bronze medal.
Gold medal: put a UK super king size duvet inside a duvet cover. It's huge and awkward, there are buttons, and it's almost but not quite square (why??) so there's a good chance you'll get it round the wrong way and have to rotate it 90 degrees.