At the moment, I'm using these web browsers on my debian GNU/linux notebook:
UPDATE: HA! I'm not the only one who is annoyed that Chromium used the ctrl key instead of alt on linux to switch tabs!
I have high hopes for Epiphany WebKit. Epiphany has been around for some time and had been using the Mozilla Gecko rendering engine until only recently. I've heard rumors of the Webkit version getting added to the Debian repositories, but I've not seen any yet, so I've been building my own. I was using it regularly as an alternative to Iceweasel until Google released Chrome for linux. Of major importance and convenience for me, Epiphany Webkit has Gnome keyring support, but I have only gotten it to work for HTTP authentication.
UPDATE: I just added sid to my sources.list and epiphany-webkit is there. Installing it now... works great, but still no saving of non-http passwords.
Midori is yet another Webkit powered browser. I like it because it support Flash and has fast rendering. However, in my experience it has slow initial page loading, and doesn't provide enough feedback as to its loading status. I only use this as a WebKit test browser.