Eagle...
Unless my geography lessons are all wrong....once you have done Everest....you have done it. Shy of heading for the Moon or something....the highest landing has been done....and it is time to move onto other things.
A thought would now be for that aircraft to head for either Death Valley or the Dead Sea and land below sea level....thus it would have landed at the lowest and highest places in the world.....throw in a couple of Pole landings....and a circumlocation about the Earth at the equator..........and one about the Earth along the Greenwich Meridian....and they pretty well have it wrapped up.