This paper presents results of a systematic literature review of RRI practices which aimed to gather insights to further both the theoretical and practical development of RRI. Analysing practices of RRI and mapping out main approaches as well as the values, dimensions or characteristics pursued with those practices, can add to understanding of the more conceptual discussions of RRI and enhance the academic debate. The results, based on a corpus of 52 articles, show that practices already reflect the rich variety of values, dimensions and characteristics provided in the main definitions in use, although not all are addressed yet. In fact, articles dealing with uptake of RRI practices may be improved by including more methodological information. RRI practices may further the conceptual debate by including more reflection, and these may foster mutual responsiveness between theory and practice by early anticipating impacts.