Chrome or Firefox are probably the best of the bunch with Opera not too far behind, all are far better and faster than Internet Explorer.
I have never even tried Safari as it is Apples browser and I am not a fan of "My way or the highway" companies or people for that matter
My personal choice is Firefox and I also use the Thunderbird email client from the same Mozilla stable but only because I have been using the Firefox browser for years before Chrome was available and although I keep trying Chrome I always seem to go back to Firefox for some reason.
I started using Thunderbird after instaling Windows 7 when Microsoft dropped Outlook Express, Thunderbird integrates perfectly and as I have numerous email accounts from different suppliers it is easier to have them all in one place rather than having to log into several different emails.
ANDROID Users
The Dolphin browser is the fastest Android browser by a long way, consistently beating both Chrome and Firefox and much much faster than the slowcoach default Android browser.