The quote says “the world”, not “the United States”.
If you want something that tries to be a bit more objective (although I’d stress that trying to rank something like “greatest city” objectively is probably not possible), check out the Wikipedia entry for global city rankings[0].
New York City trades places with London, and once with Tokyo, but otherwise is not terribly contested.
Obviously I’m biased because I live here (and stayed here through the worst of COVID), so take what I’m saying with a grain of salt.
[0]: https://en.wikipedia.org/w/index.php?title=Global_city&mobil...