We have 20 CMS apps packaged with Bitnami. You can go to https://bitnami.com/stacks and filter out by "CMS" and check whatever fits better your needs. For instance, Joomla!, Drupal and CMS Made Simple don't need any other Application Server but should be other in our catalog.
But take into account that if you install the full stack is going to install another instance of Apache under your installdir:
If you want to reuse your current Apache, install the module ( and not the full stack) on top of your current installation. If you installed either Redmine or Ruby Bitnami stacks, you should have php and MySQL packaged as well.
I hope this helps. Let us know if you have any question or you run into issues during the installation process.