Opera browser
Chrome might be the fastest browser by the moment, but those couple of nanoseconds do not make real difference when browsing! Opera browser besides being as fast as Chrome is much better in all other aspects. You can customize (and I'm not taking about pretty skins and that sort of things) the browser to meet exactly your needs, without being a real computer expert; you surf the web much more easily with "mouse gestures" (no plug-in needed!); etc etc etc... There are so many things that you might think that were IE, FF or Chrome inventions and Opera just "copied" them...well, let me just say that it is exactly the other way around...and in the future it will still probably be!
Just give Opera a try...and I'm sure you won't regret it!
