Its more than likely a permissions issue, not a lucee issue
What is your host running, I would guess from your above posts some Ubuntu or Debian spin?
Lucee and apache need to either be running as the same user, or have the same permissions to access the data in what ever directory you are trying to run your .html and cf files
You could run something like
sudo chmod u=rwX,g=srX,o=rX -R /var/www
Enable mod proxy for Apache
sudo a2enmod proxy.
Next in your site configuration file, you need to add something like the following
Allow from 127.0.0.1
ProxyPassMatch ^/(.+.cf[cm])(/.)?$ ajp://localhost:8009/$1$2
LoadModule modcfml_module modules/mod_cfml.so
CFMLHandlers “.cfm .cfc .cfml”
Restart Apache and now you can serve static content.