From an article at Tom's Hardware: Which Web Browser Should I use for Android?
Spoiler: It's Dolphin. This browser was especially impressive in HTML5 and Javascript performance.
Does it play wii and gamecube games well?
If you port them to html5/javascript.
Develop games in your browser. Powerful, performant & highly capable.
I tested Chrome for andriod, Firefox, Dolphin Opera Mobile, Puffin Free and UC browser on Nexus 7.
With C2 games, best results were on Chrome. Dolphin didn't do so well.
That's good to know.