This method of comparision seems a little bit idiotic.
First, it has nothing to do with what the OP originally wrote. Unless you’re one extremely powerful individual that belongs to The Powers That Be, the place your city has in international politics has little to nothing to do with your life as an average city dweller (in that case, is Brussells the most powerful city in Europe? Hmm…)
Second, only two non-Capital cities, for all the others their influence is of course totally linked to the fact they’re where the main institutions of their countries are located (not that they dont have influence of their own, but when you say Paris you think French government, when you say London , you think Brit Government, and so on). Mixing the two in the same Top 5 is proof of my following point 3.
Third, this is the typical bull you’ll get in any economic or foreign policy magazine with pretenses of seriousness (or pompousness), their panel/Top 5/ our magazine’s list of is the exact equivalent of the supreme diet method you’ll find in your women magazine. It’s out of the ass, unsubstantiated except by the firm convictions of the editor (“Hey, I went to Honk Kong last April, this city rocks. It got me a chance to work on this new miracle diet I’ve discovered too by the way. Ain’t life amazing in the magazines?!”). In short , I would wipe my ass with it were it no preemptively made of shit.
Now, to the OP subject, nope NY probably aint the greatest city in the world, it probably lacks a millenia or two to even make it to the top 5. Sorry, that’s always gonna be a crucial factor in assessing who’s part of that select club. And N-Y doesnt cut it in terms of history, at the very least. In terms of architecture (heavily linked to the history clause, obviously), I could cite a dozen cities that top N-Y any day.
It’s probably a great place to live in, got a lot of influence for/as a non governmental city, is very present in our movie influenced culture, and could be included in a top ten I guess. But here you’re just showing on a local level what Americans are so famoulsly known to do, no matter what: establishing home country/city/county/neighborhood/floor/favorite room in your flat as the best in the world while having little to no experience of anything else to compare it to.
Come back when you’ve traveled. Try non Western cities.