This synthesis provides the reader with an overview of Breathing Games since its inception in 2014. Aim is to document how this initiative evolves, recognizing the contributors and partners involved, listing the activities and outcomes achieved, presenting the way we collaborate, and redistribute resources, in an open science, inclusive mindset. This is also our communication on progress as signatories of the United Nations Global Compact. Since the 2018 report, we added general information (global goals, organization, collaborations), event pages (2019, 2020), and outcomes (research). We also reviewed the introduction (in a nutshell), general information (principles, contributors, funding), event pages (2018), and outcomes (games, hardware, publications).