I use Mozilla--the prototype version of Netscape's 6.x series browser.

Yeah, it's got some performance issues, but in my case, I like it better than IE. Although opening a new window in IE is faster than in Mozilla, getting from clicking on the icon to actually being able to use the webpage is quite a bit longer in IE than on Mozilla(especially with Mozilla's precaching). I also use its mail/news client. It's got some problems(mainly in the interface area), but it's better than most programs.

Both Mozilla and Netscape 6.x are fully standards complient. Far more so than IE.(although some people would argue that IE IS the standard)

If you like Mozilla, but think it's too slow, you might want to try Galeon.

If you're using Linux, Konqueror might be a good choice.

The best thing about Mozilla IMHO is that you can disable javascript commands on a domain by domain basis. I disabled window.writeln, write, open, and create, which totally disables all popups anywhere(although you can make exceptions for domains that have useful popups.). Unfortunately, there's no UI for this yet.