Newspapers are rich primary sources of information on the Revolutionary Era. As with any primary source, care should be taken to assess accuracy and bias. There are several on-line sources to access newspapers published during the Revolution.
Books on Revolutionary Era Newspapers
Adelman, Joseph M. Revolutionary Networks: The Business and Politics of Printing the News, 1763-1789. Studies in Early American Economy and Society from the Library Company of Philadelphia. Baltimore: Johns Hopkins University Press, 2019.
Andrlik, Todd, ed. Reporting the Revolutionary War: Before It Was History, It Was News. Naperville, Ill: Sourcebooks, 2012.
Humphrey, Carol Sue. The American Revolution and the Press: The Promise of Independence. Visions of the American Press. Evanston, Ill: Medill School of Journalism/Northwestern University Press, 2013.
Online Newspaper Archives
Virginia Gazettes (1736-1780). You can access the papers via this link.
Pennsylvania Gazette Online access at
Several South Carolina newspapers are online at link.
Revolutionary Boston newspapers at http://www.masshist.org/dorr/
London Gazette is at link
Large Online Databases containing Revolutionary Era newspapers
Early American Newspapers are online at Readex
British Newspaper Archive is a helpful site for many British papers link
On a much smaller scale, but free, I created a mini archive of full newspaper issues featured in Reporting the Revolutionary War. You can find those issues by clicking here and navigating through the chapters.