STAR Tax Credit: If you own property and it is your primary residence, you are probably eligible for a STAR Tax Credit. If you are 65 or older you are probably eligible for Enhanced STAR. If you have just purchased your home, you should register for the STAR tax credit. Overview and Instructions link.
Veterans Exemption: (pdf) The Alternative Veteran's Exemption is available to qualifying residential real property owned by honorably discharged veterans (or certain family members) who served during defined periods of war or under certain other conditions. Informational Overview and Instructions.