I like Firefox. It's has a good selection of addons, it's very stable, and starting with version 29, Firefox Sync is very easy to use. Firefox also offers extended service releases if I need something even more solid. I also use Firefox on my Android tablet. Firefox is also a little easier to build from source compared to Chromium.
In a text only session, I like to use Links. Links is also lightning fast in graphical mode, but is seriously lacking features.
Anyone using Google Chrome should give Chromium a try instead. It's the open source version of Chrome. No Google spyware.