The U.S. quarter issued in 2001 for NY features the Statue of Liberty on the back, and has the sillouett of New York behind it.
New York Central - 2001 was released on: USA: 1 January 2001 (New York City, New York)
New York Voices - 2001 was released on: USA: 17 November 2001 (New York City, New York)
New York's population in 2001 was 19.08 million.
See How They Run - 2001 was released on: USA: October 2001 (New York City, New York) USA: October 2001 (IFP New York)
That's just a state quarter. 1788 is the year New York became a state, and 2001 is when the coin was minted. If it's gold, then someone gold-plated a regular quarter. It doesn't add any value for a collector, as it's now more of a novelty or souvenir. It's only worth as much as someone is willing to pay.
Warm - 2001 was released on: USA: 2001 (New York City, New York)
new York
Antiquity - 2001 was released on: USA: 15 May 2001 (New York City, New York)
Nitwit - 2001 was released on: USA: 9 March 2001 (New York City, New York)
The Blue Marble - 2001 was released on: USA: 2001 (New York City, New York)
Eulogy - 2001 was released on: USA: 7 May 2001 (New York City, New York)