It's generally a well-known fact that you should name your pizza parlor after a farthest location from where you're currently at. People will tend to believe that somewhere thousands of miles away regular folks enjoy this awesome pizza on the daily basis, and now globalization efforts have finally made it possible for you to experience this exclusivity as well. Bay Area pizza places seem to stick to this rule: there's Chicaco Pizza and New York Pizza in Palo Alto, and Amici's in downtown Mountain View or San Francisco advertises the fact that it's an East Coast pizzeria.
There's very little New York at New York Pizza on Hamilton aside from a few photos of Empire State Building on the walls. The space is a bit cramped. but can probably sit round 20 people reasonably well. Most of the visitors get stuff to go, and New York Pizza does have a few combos and flavors to offer. The prices range from mid-10s to mid-20s for "King Kong"-sized pizzas, the service is quick and expedient, the selection of toppings is pretty good, and the results are average to above average.
There's nothing that makes this place stand out aside from the convenient location. The crust is similar to what you'd get at numerous other places, the toppings are more or less consistent, and they do have good recipes. I guess one thing that might make them stand out is the presence of gyros in the menu, but I haven't tried those.