In a similar manner to YouTube's playlists, is it possible to have a playlist player which simply cycles through a playlist of videos from a number of internet websites and then plays them one after another without the need for anyone to step in (fully automatic)?

For example...

First video loads off of YouTube, plays in fullscreen mode, and then closes.

Next video loads off of Vimeo, plays in fullscreen mode, and then closes.

And so on...