I'm using Mozilla right now and downloads work.
What I did was download mozilla 1.7.3 from
http://www.mozilla.org/products/mozilla1.x/
Click on the mozilla-i686-pc-linux-gnu-1.7.3-full-installer.tar.gz
Copy the mozilla-installer folder to your home dir
Login as root and cd to the mozilla-installer this is how cd /home/your user account/mozilla-installer
Once in the mozilla-installer folder in the terminal
Type ./mozilla-installer
The install screen loads (follow the steps)
Now if you want you can make life ezer for yourself and install flash and java plugins all you have to do is copy and paste
the old mozilla plugins to the new mozilla plugins dir this is also how I installed the plugins for firefox
Im sorry I don't know the path for that it was done a while back I think the plugins where in the usr/local/mozilla/plugin dir
and BTW I don't know if they where over writen either because I installed firefox first then took the plugins from from mozilla the yoper
shipped. Then I installed Mozilla 1.7.3
This is probably a big no no to most Guru's but it's the only way I knew how at the time.