What is a good web browser for OS X 10.4 Tiger? I have an old MacBook that can't run anything higher than 10.4, due to hardware limitations.

Is there any decent modern browser I can run?  Opera, Safari and Firefox all need at least 10.6.

I just want websites to work correctly. I am aware that there are security issues and that I should not be running such old software in the first place.
TenFourFox gives you the current version of Firefox in builds optimized for G3, G4 and G5 PowerPC processors that runs on Mac OS 10.4 and 10.5.