ELIS, an integration of several open source solutions with Moodle, comprises a curriculum management system, the Business Intelligence software Jaspersoft and the Content Management System Alfresco. For further details, see Remote-Learner Announces Enterprise Learning Intelligence Suite for Moodle.
Remote-Learner have also been involved in integrating the Open Source Video Platform Kaltura with Moodle as both a new resource and assignment type, enabling teachers and students to easily add and edit videos from within Moodle. For further information, see Remote-Learner and Kaltura Announce Partnership to Bring Open Source Video to Moodle.
If you're looking to integrate an external system with Moodle, please consider making use of your local Moodle Partner. All Moodle Partners contribute directly to the ongoing development of Moodle software via funding or expertise, so by making use of their services you are also helping support Moodle development.