I'll start this, the idea is to have a 'stickie thread' at the top of this forum where we can list sites that are available for free video or photo hosting.
In the case of photos, we need to be able to 'deep link' in order to include images in posts here. For video, we just need a site that will host them, as here we just include links to videos.
Photos:
http://www.photobucket.com/
http://imageshack.us/