If you are thinking of upstate NY, then go to Realtor.com and key in all the parameters for a particualr area, and you will have your answer
You sould look at listing on http://www.elliman.com to get an idea.
Good Luck firstname.lastname@example.org
There are many units available in new developments ( new construction and conversions) which have received Tax Abatements. These will be the buildings with the lowest real estate taxes at least for a fixed period of time which could be something like 10 years for example. It will be important to determine when was the tax abatement approved and how many years are left on it. Real Estate agent will be able to select the tax abated buildings for you.
Otherwise, contact NYC Dept of Finance and look up the property for this information.