From the Wikipedia page 
The New York City Municipal Archives was founded in 1950, and makes available the historical records of New York City's municipal government. Records begin in the early seventeenth century. The Municipal Archives holdings total approximately 160,000 cubic feet (4,500 m3). The collections comprise office records, manuscript material, still and moving images, ledger volumes, vital records, maps, blueprints, city directories, and sound recordings.
The Archives' headquarters are located in the Surrogate's Courthouse, also known as the Hall of Records, on Chambers Street in Manhattan.
Its website is 
See also New York State Archives