Can I display Media Videos in a single "media player" block I have several youtube videos listed on a page. I am currently loading them as Media Fields. What I would like to do is declare a single block (or perhaps a region) where the videos play no matter which video I select. SO rather than displaying the URL to a video, or the video itself, I want to display a play button. 

Is there a standard way of doing this with Media, or do I have to create my own Javascript to insert the video into a "video player" block
You could create a View that makes a Block, and set it to display videos that meet whichever criteria. Or, you can just embed videos directly in a block with embed code. You can try the Video module or Video Embed Field to show videos from another source or from your side.