The current categorization of digital games is not objective and is unable to assess the latest and more complex digital games. Digital games need to be systematically categorized so that similarities and differences can be identified and analyzed. The fundamental characteristic of digital games is interactivity. This paper addresses the current categorization gaps through the lens of interactivity. Through this lens, a conceptual framework consisting of primary and corresponding participants and controlling characters is developed. Future research topics are then presented based on this framework.