Once upon a time New York had basically two forms of portable coffee cup: styrofoam and the Anthora:

“Anthora – We are happy to serve you” by Dan Bluestein – We are happy to serve you. Licensed under CC BY 2.0 via Wikimedia Commons.

Nowadays you do not see much of either. Styrofoam is gone for environmental reasons and the classic Greek diner cup has been supplanted by a wide variety of proprietary designs and cups that advertise just about anything with a budget. I found this fellow at the top sitting on the ledge next to a subway entrance in Queens, and I think I was drawn to the color contrast between the cup and the green/blue paint.