Mobile browsers is functioning like its desktop counterparts and it comes with different flavors. In a recent browser run down the Dolphin HD browser for Android emerged victorious. It is the fastest browser and the most accurate to render HTML 5 thanks to their new engine for Android. It is even faster than the latest Opera and Google Chrome for Android by scoring 450 points.
Personally I use Chrome for Android (works only for ICS) because of its simplicity and speed. Still it is based on user preference if you will use the stock Android browser or Chrome if your in ICS or the the Dolphin browser flavours.