[Windflier]

If the state does not prohibited it, a city can do just that

If that were so, every major Democrat-run city in the country would have a municipal income tax by now.

You say that New York City has one, but you're not sure. I've never heard of a municipal income tax anywhere. Anyone else ever hear of this?

[Maine Mariner]

I Googled City of New York income tax, many articles came up. Here are the tax brackets and rates:

NYC Income Tax Brackets
Single Filers
New York Taxable Income Rate
$25,000 - $50,000 3.591%
$50,000 - $500,000 3.648%
$500,000+ 3.876%
2 more rows

[DoubleNickle]

My son lives in Brooklyn and yes, NYC has its own income tax on top of what NY state charges.