which do you want the official one where you stop or the unofficial one., where you don't -- well I should say you go only to your destination, but can't stop elsewhere (unless you get from there to the start of your return trip on your own).

I can't answer the official one, but the unofficial one --that is you DO fly round the world but don't do stops-- is 60,000 milles.

if you can get on the singapore air star alliance flight from newark to singapore, it's over the atlantic. Come back to JFK on united or singapore, it's over the pacific. end result: round the world for 60,000 miles. But no europe stops, no India stop.