Did you try to install chromium and java from debian?
You could use java and chromium from stable by installing chromium-browser and icedtea6-plugin packages, chromium-browser is quite old, but is chromium from debian.
Or you could use package from testing: (if you already use testing or unstable just install the needed package)
Go to http://jaqque.sbih.org/kplug/apt-pinning.html for configuration of mixed stable/testing installation. then
apt-get install chromium/testing
will install a recent chromium as a Debian package and
apt-get install default-jre/testing
apt-get install icedtea-plugin/testing
and java should work.
Note the current (15.0.874.106~r107270-1) chromium from unstable is badly broken, don't try to install it.