I'm not sure if Game consoles will have a HTML5 capable web browser since the current ones are so limited, so users can also play HTML5 games on their console web browser, but it would be cooler then the basic web browsers which come with consoles which are very limited compared to Google Chrome, Firefox 9, or even Internet Explorer 9 which all has HTML5 support for playing HTML5 games, apps, and videos.
Example of HTML5 games
Example of HTML5 games