Appropriate websites will vary based on the topic, scope, and purpose of a project. Some recommended sites:
Scholarly Organizations - identify the premier organizations associated with the field being researched. Explore their websites for current information and learn about conferences and key scholars in the field to add to your search.
Intute - page of research websites collected and maintained by a consortium of university libraries in the U.K.
Example: Intute listing of Rhetoric websites
Although the Intute site stopped being updated in July 2011, it remains an excellent organized source to find valuable free collections and sources
The U.S. government may fund research in your field!
The government funds research in many areas such as education, health, and medicine. Find additional researchers or sources for information that may not be found in a traditional library catalog or database by searching for your topic and adding "site:.gov" to your search string in a search engine.