I unexpectedly flew around the world once. Was supposed to do Canada-Germany-Dubai and then back again, but Lufthansa went on strike before my flight home so I ended up doing Canada-Germany-Dubai-China-Canada.
I've done San Francisco to Hong Kong to Bangalore, then back via Frankfurt to SFO, but that's not fully around the world, and neither was your route, because we didn't cross the equator or go 20,000 km (earth's circumference), just a Northern Hemisphere smaller circle. A route involving NYC and Aukland is the real thing, and considerably longer.