In May 2016, we launched Research Integrity and Peer Review, an international, open access journal with fully open peer review (reviewers are identified on their reports and named reports are published alongside the article) to provide a home for research on research and publication ethics, research reporting, and research on peer review. As the journal enters its third year, we reflect on recent events and highlights for the journal and explore how the journal is faring in terms of gender and diversity in peer review. We also share the particular interests of our Editors-in-Chief regarding models of peer review, reporting quality, common research integrity issues that arise during the publishing process, and how people interact with the published literature. We continue to encourage further research into peer review, research and publication ethics and research reporting, as we believe that all new initiatives should be evidence-based. We also remain open to constructive discussions of the developments in the field that offer new solutions.