I'm currently using Google Chrome. I love how the pages loads fast. I can even browse lot's of sites with this. I find it neat for my eyes. I think I browse more than 20 sites at a time and still it loads fast. I love traffic exchange and that's why I prefer Google Chrome for fast page loading. ^^
I've already answered to this question in 2 other threads.
My best browser is Mozilla Firefox cause it's the most safe (it's my opinion) and it's very flexible, you can do everything you want (without problem unlike the other browsers). I have already use other browser such as Opera, Google Chrome, IE, and few others i don't even remember... but Mozilla Firefox beats them all.
I am alternatively using, chrome, firefox and Internet Explorer but mostly I am using Chrome because I can browse faster and do multi-tasking while having many Tabs open. I only FF and IE if the Chrome has some problem.