Yes, now you can play OutRun directly from a modern web browser at 60fps with sound and no plugins.
It would be even more seamless if I could bundle the ROMs, but sadly you will have to provide these yourself for obvious reasons.
It runs on mobile devices, although it's not playable yet due to a lack of controls. I recommend the Firefox Beta browser on Android. I can run the engine at 40fps on a Samsung Galaxy S3 phone, so 30fps mode works fine.
It's clearly "very beta" at the moment. For example, full-screen mode works only in Firefox. Audio only works in Firefox Nightly and Chrome. Getting things running nicely has been a bit of a frustrating balancing act.
The source code is currently forked and can be found here. It's quite hacky at the moment, as my main focus has been to simply get this running.
Exactly how much I support this will depend on the level of interest. I want to get back to LayOut, amusing as this project was. You are welcome to embed it in your webpage if you provide a link back to my blog.