Over the last decade, there has been a proliferation of policy engagement bodies set up within universities worldwide. The present study focuses on the British experience of this phenomenon but with relevance to other contexts. Multiple factors are at play to explain this growth, from the Research Excellence Framework impact agenda (which assesses and ranks the quality of research in UK universities and has been echoed in other countries) to universities' renewed focus on their civic mission, and a growing demand within policy and practice circles for more research evidence. Based on interviews with senior staff and analysis of their websites and documentary outputs, this article offers a comprehensive catalogue of university policy engagement bodies across the UK, and classifies them into types based on their activities, outputs, impact, and staff. We enrich this categorization by examining the stories these bodies tell to explain how and why they have emerged, and the variable approaches they adopt as they seek to influence both academic and policymaking practices. In doing so, we develop a typology of university policy engagement bodies, and demonstrate how they seek to partake in changing the roles and identities of universities, and their relationship with policymaking.