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The Display Controller is a controller that acts as FE plug-in. It thus coordinates the work of the other components to produce output that is integrated into the TYPO3 page rendering process. The Display Controller defines relationships between the various components.
On Forge: forge.typo3.org/projects/show/extension-displaycontroller
The Advanced Display Controller provides the same functionality as the "regular" Display Controller. The difference is that it can accept many Data Providers at once. This is useful in some cases where it is needed to mix data from different data sources inside the same content element. In that case the Advanced Display Controller is able to deliver a “multi-Data Structure” to the Data Consumer.
On Forge: forge.typo3.org/projects/show/extension-displaycontroller_advanced
This extension complements displaycontroller and displaycontroller_advanced by providing them with a simple control panel to manage the debugging output in the frontend. Relies on jQuery and jQuery UI.
On Forge: http://forge.typo3.org/projects/show/extension-displaycontroller_debug