Some browsing at the Mozilla homepage pointed me to a web browser called iCab, which is supposedly the only browser still in development for MacOS 9. Not only that, but they still have recent releases for MacOS 7 built for 68K.
I can't get networking functioning under ShapeShifter and both Fusion and Basilisk crash on me, but maybe someone here can try it out. They say it only has limited CSS support, but it's probably better than Netscape 4 or the Amiga browsers.
Link
