Have you tried Galeon, Phoenix, or Opera (/me loves Galeon) If you have problems with those also, then maybe it is your JRE (Java Runtime Environment) You might want to verify that java IS your problem before doing the following steps. Browse to the site with java disabled in your browser or in a barebones browser like lynx or links. Also check if that site has some sort of embedded content like flash or a realplayer video. Sometimes those crash the X server and will cause you to be put back to a login prompt. (CNTRL ALT Backspace will do the same thing!) If java is indeed your problem, try the following.
Download the real JRE from the ppl that made java
and install it.