"You will now see a different set up when you click on your username in the upper right hand corner of any page. In addition to showing the same links to access your Account, My Videos, etc. you will be able to click on thumbnails to automatically load your playlists, Liked, Favorites, and Watch Later lists. The songs in your playlists will be accessible in the strip across the bottom of your screen -- so you can easily navigate to different videos in the playlist you are watching," explained a Google employee.
Another way to access your playlists is to expand the small bar displayed at the bottom of the page, click "Options" and select "Load a different playlist".
{ Thanks, Andrew. }