National archives, libraries, agencies & many other organizations publish primary source documents. A selection of sites include:
Internet History Sourcebooks Project
Avalon Project: Medieval Documents, 400-1399
EuroDocs: Medieval and Renaissance Europe
Hanover Historical Texts Collections: Medieval Europe, Letters of Crusaders
Voice of the Shuttle - the Crusades
Medievalists.net
News, scholarship and more.
Online Medieval Sources Bibliography
TIP:
One way to find a more reliable site is to search for ones created at or by educational institutions. To do this, use the Google Advanced Search option and limit your search by setting domain or site preferences. Enter .edu (U.S.), .edu.au (Australia), .ac.uk (United Kingdom) into the domain/site box and the results retrieved will only be associated with educational institutions. But even here, you will need to validate the information.