I use Netscape 
No longer developed, but supposedly
SeaMonkey is its natural descendant / replacement.
EDIT:
I used to use IE, because I thought "Hey, this is a browser. And it's preinstalled. Why should I use some other browser?". Then I read about security in browsers and switched to Firefox. And it also had Adblock that could finally rid me of those pesky Flash ads, that run around the screen playing cheeky sounds or weird music. And popups. They also died. Recently I've switched mostly to Opera because FF has been getting so heavy.
Try
Google Chrome (now at version 5 stable!) if you want speed.
