The degree of concentration in research funding has long been a principal matter of contention in science policy. Strong concentration has been seen as a tool for optimizing and focusing research investments, but also as a damaging path towards hypercompetition, diminished diversity and conservative topic selection. While several studies have documented funding concentration linked to individual funding organisations, few have looked at funding concentration from a systemic perspective. In this article, we examine nearly 20,000 competitive grants allocated by fifteen major Danish research funders. Our results show a strongly skewed allocation of funding towards a small elite of individual researchers, and toward a select group of research areas and topics. We discuss potential drivers, and highlight that funding concentration likely results from a complex interplay between funders’ overlapping priorities, excellence-dominated evaluation criteria, and lack of coordination between both public and private research funding bodies.