Integrating sustainability in computing education entails broadening the scope of the education, but how can that be done while maintaining student engagement? Climate change and species extinction can appear far removed from data structures and algorithms to say the least. In our ongoing work of integrating sustainability in our Media Technology programme, we have addressed this gap by introducing systems thinking games and activities to broaden the scope, as well as by situating the issues addressed in the course in relation to their future profession. In this paper, we present our experiences of introducing and playing systems thinking games, how the systems thinking exercise sessions were conducted, outcomes of the sessions and finally some lessons learnt. Furthermore, we present and analyse changes we did to the exercises and that led to a richer material for discussions in the classroom.