Black Label Ads can target at the city level for you. I'm assuming you are looking for manhattan, but in just case here's a list of all of the targetable cities in NY:
Albany-Schenectady-Troy
Binghampton
Buffalo
Elmira
New York (i.e. Manhattan)
Rochester
Syracuse
Utica-Rome
Watertown
When setting up any campaign (
http://www.blacklabelads.com/mb/) it is the second question is regarding location of users. If you select "choose countries or cities" you can get there easily, but please feel free to hit me up and let me know how I can help.
-Chi.