There's a public comparison here

Netscape 4.77

is allegdly better than most, especially on debian's testing release. Most people think Martin is silly for wanting a browser to stay up for many days on his laptop.

Netscape 6/Mozilla

is stable, but rumour has it that it's a bloated pig.
Disabling Mozilla Popup windows - put this in your prefs.js file:
pref("capability.policy.default.window.open", "noAccess");
There is a much better explanation here
And, it looks like there are ways to define different "security zones", just like IE (which Martin mentioned)

Galeon

Seems to be reasonably stable. (uses Gecko(Mozilla) as its browsing engine) Doesn't do Java by default, but does if the JVM installed for Mozilla. Better session management. Crash management.

Konqueror

Supposed to be more stable that Netscape, but still not "stable".
"Can take up to a week to crash with 2.2" ;-)
Doesn't work with Reserve application (Beaverton conference room reservation).
User interface is supposedly nice, and it's reasonably lightweight.

Opera

krader is using. Opera costs $50 or so. Now has java support. Javascript support is a little sketchy.

Junkbuster

has a patch to disable pop-up windows. Used to get rid of banner adds, most advertising sites.

Webwasher & junkbuster are both filtering proxies.

Other

wget, httpget, curl, lynx, lwp-rget, lwp-, mirror