The best (and I think only) way to do this, is search the API's of those websites on how to use their content in your own player.
I guess most of these websites use a standard player that loads an .flv file to play, just find out how to go from a youtube or a dailymotion URL to the corresponding FLV file.
Youtube API:
http://code.google.com/apis/youtube/gettin...tml#player_apisKeep in mind that by taking away the player those 'content providers' use, you take away their ability to advertise, that means they're paying bandwith without possibility of any income.. They don't like that and it will not be easy to do what you want to do :-)
Good luck tho,
B
(oh and the best forum for this is Flash I think)