How to play video on mobile browser's webpage WHILE ON the webpage?
HTML 5 video plays within the browser in Chrome. To use HTML 5 video with Youtube (both the mobile and desktop websites), go to http://www.youtube.com/html5 to turn it on.

Browsers won't be able to run Flash animations, videos, and games, because Adobe decided to stop supporting Flash on mobile devices. Adobe is also winding down its Flash authoring tools and encouraging its customers to output to HTML 5 instead. Because Flash is a closed, proprietary format, Adobe's free to choose to support or not support Android according to their whims, and there's very little consumers can do about that.