YouTube's embeddable player additional a new feature that lets you quickly update your playlists with new videos. Click the arrow next to the "plus" button and you can add the video to one of your playlists. You can't make new playlists from the player and you can only see the first 10-15 playlists, depending on the player's height. I couldn't discover a way to scroll the list.
Here's a video you're almost certainly anxious to add to your playlists (there's no "remove" button in the player, sorry about that!):
It's surprising that the embeddable player doesn't have like/dislike buttons and you have to go to YouTube's video page for such a easy action. There's also a related menu that lets you copy the video's URL and the embedding code, but YouTube uses the old Flash-only code.