The New York State Division of Criminal Justice Services(DCJS) has a great statistics page which provides a variety of data down to the department level actually. It includes information on the seven major index crimes tracked by the FBI ( murder, forcible rape, robbery, and aggravated assault, burglary, larceny and motor vehicle theft), as well as breaking out violent crimes based on the use of a firearm during their commission.
Another set of data provided by the DCJS are domestic violence victim data by county, and by reporting agency. This data set includes the offense, as well as the relationship of the domestic partner, and whether victim was some other family member than a domestic partner. Below is an example of what the data looks like, in this case for Herkimer County domestic violence cases. Any Herkimer County law enforcement agency not appearing in the table reported no domestic violence arrests in the last year.
To see a similar table for Oneida County, visit this page. But be sure to look at all the data on the DCJS statistics page.