This site provides access to video footage licensed under a variety of licenses, including Creative Commons licenses, as well as footage in the public domain. You can limit your search to specific license types using the Advanced Search feature. For example, this search returns video content that the Internet Archive has listed as in the public domain.
YouTube allows you to filter your search results to only include Creative Commons-licensed videos. After you perform a search, click the Filter button and choose Creative Commons.
Vimeo allows you to browse Creative Commons-licensed content and limit your search results to only Creative Commons-licensed content using their advanced filters.
This portion of the Internet Archive offers access to thousands of Creative Commons-licensed videos, which are organized into subcollections by subject.