Volunteers from the Italian Genealogical Group have indexed millions of New York City births, marriages and deaths (and they didn't limit their efforts to Italian names!). Not all records have been indexed for all years, and the project is on-going, so check back if you don't find what you're looking for. Each record type has its own search page that explains what that particular database covers (years, boroughs, etc.).
Go to the Italian Genealogical Group website at italiangen.org, click on [+] Database Searches, then select a collection and enter basic search criteria. If it's a unique surname, start there. If you find your ancestor listed, then request the original certificate using Family History Library microfilm or the Photoduplication Request process. Remember that many immigrant families paused briefly in New York City on their way to other parts of the United States.
|Italian Genealogical Group - Database Search Screen|
To learn more about locating New York City vital records using the Italian Genealogical Group web site in combination with FamilySearch.org, stop by the Family History Center.