As a reminder, intercultural dialogue has been defined on this site as “the art and science of understanding the Other” (courtesy of Peter Praxmarer, as explained here).
The goal is to first gather a number of such exercises and, second, make them available to all those who follow this site. This request may be interpreted broadly, both in terms of content (so that intercultural competence, conflict resolution, conflict management, negotiation, peacekeeping, etc. would all be appropriate foci), and in terms of type of exercise (not only discussion but also writing, video, interview, graphic design, etc. could all be relevant examples).