This Special Issue brings together three fields of problem-oriented research, all addressing the current challenges of our society from different perspectives and respective research traditions, namely: technology assessment (TA), responsible research and innovation (RRI), and sustainability research. In this introductory paper, we point out that these approaches, nevertheless, face similar challenges observing and shaping the current transitions of our society. Conceptual and methodological commonalities and differences in the three approaches comprise issues of normativity in research activities, the interference with democratic decision-making processes, methods and approaches to cope with the expectations of society as well as dealing with the uncertainty and complexity of knowledge. The article closes with a reflection on considerations and decisions of relevance as an overarching challenge for all three concepts.