When you access the state archives for each of the states, there is usually a search box that is provided. Type in, "Military Service Records" to begin your research.
(The link immediately above includes a handy guide to all of the state archives and online digital records)
WARNING: While doing genealogical research, it is very easy to go down a so-called rabbit hole. When you emerge an hour later to go to the bathroom or get a drink of water, you may find that you have forgotten your original research objective. With this in mind, the links that are provided on this page are merely intended to be starting points. Where you eventually end up after clicking on them is up to you.
Access the DAR website, at DAR.org. Click on the green box labelled, "Research you Family History." On the next page, under "Genealogical Research" or "GRS," click "Ancestor Search."
Access the SAR website at SAR.org. In the "Genealogy" tab, in the pulldown menu, select "Patriot Search." Click on "SAR Patriot and Grave Index."
Two Different Links for Fold 3
This website includes many of the records for Revolutionary War veterans, as well as their dependents' applications for pensions.
Two Different Links for the National Archives
All thirteen of the original states published rosters of their patriots who served in the military. Eight of these state publications are available for free on the internet.
These are: Connecticut, Georgia, Maryland, Massachusetts, New Jersey,
New York, Vermont, and Virginia.
Google search using an expression like "New York Patriots in the Revolutionary War."
The other original states, by the way, are: Delaware, Pennsylvania, North Carolina, South Carolina, New Hampshire, and Rhode Island.
Note: At the time of the Revolutionary War, Vermont was part of New York.