Not New York but my Alberta Style fried onions that I serve hundreds of pounds of a summer.
3-4 pounds yellow onions
1 pound of butter
4-6 cloves crushed garlic
palm full of fresh cracked pepper
carmalize and brown over high heat till nice and golden then drizzle about one half can of coca cola (the real one) and a couple dabs of pepper sauce. I have people come up to just order the onions on a bun.
Cheers Fred