The New York State DMV maintains statistical data about motor vehicle crashes from 1995 - 2014 on the Archives of Statistical Summaries page.
Find crash data from 2015 in a publicly-accessible, searchable, Internet-based archive called the Traffic Safety Statistical Repository. The most recent data about vehicle registrations and drivers is available on this page.
New York State Open Data Initiative
Data viewable on the Open Data Portal include vehicle repair shops & vehicle inspection stations across the state, the number of electric cars registered in each NY county, the most popular vehicle makes and body types registered in NY, comprehensive motor vehicle crash data, and much, much more.