[aith]

Open it up in safari, then add it to your homescreen - It'll play fullscreen and behave just like a native app :)

[nutmeg]

If you are interesteed, there are people using CocoonJS and/or Cordova to package up Phaser games as native apps. It was a bit complicated last time I checked. There is a ton of info on http://www.html5gamedevs.com/forum/14-phaser/