My own order of preference for browsers I've used:
1. Opera 7 (I use this when I have to use my PC, which I don't feel the need to do often).
2. IBrowse 2.3 (I use this 95% of the time)
3. Voyager (QNX)
4. Mozilla 1.x
5. AWeb 2
6. Phoenix
7. Netscape 7
8. Lynx (amiga gg port)
9. Voyager 3 (V3 on Amiga)
10. Internet Explorer 6
My preference is based on stability first, speed second, convenience 3rd, and compatibility last (if a site has flash or java or weird js usually avoid it like the plague). Note also that I don't use Linux. ;-)