Here are a few of my favorite genealogy resources. This list will be growing as I add more links. Based on my family research much of y knowledge and time volunteering has been spend on New York City and the surrounding boroughs, England and Scotland.
Family Search is a fantastic site to get started. It is run by the Church of Latter Day Saints (LDS). Loads of indexed and not indexed Primary Sources from the US Census and State Censuses, Wills, Vital Records, Naturalization records and much more.
The National Archives has a lot of military and immigration information in their libraries. They also have lots of reading material on how to get started on your genealogy research.
For an index of vital records and nationalizations in the Greater New York City area, the Italian Genealogical Group has a wonderful searchable index. I have volunteered transcribing with this group for years. It is very rewarding to pay it forward if you have the free time to volunteer.
With those certificate numbers found in the index, you can order for free vital records from the Latter Day Saints! Fill in the Photoduplication form and email to the LDS.
New York State Historical News Papers can be searched by Fulton History’s Website. A bit cumbersome to search by so many local newspapers it spins your head. Many are hard to find if you don’t have access to the local library.
Library of Congress Historic American Newspapers. http://chroniclingamerica.loc.gov/
Suffolk County New York Newspapers. http://shn.suffolk.lib.ny.us/