This introduction to the special issue focuses on the rise to dominance in debates on capitalist diversity of approaches which take institutions as their starting point, rather than the wider social relations in which institutions sit and are constituted by. However, although this is part of broader trends across the social sciences over the last three decades, the self-marginalisation of critical political economy perspectives from these debates was also a factor, as was the declining dialogue between critical political economy researchers rooted in different geographical and philosophical traditions. Echoing the influence on the emergent Conference of Socialist Economists of German-language debates on the state in the 1970s, we call for renewed dialogue between researchers from different linguistic and intellectual backgrounds in the name of a renewed critique of dominant comparative capitalisms (CC) approaches. In so doing, we emphasise the range of alternative perspectives that can be offered through such dialogues and critiques, and thus the significant potential for further collaboration and advances in our understanding of capitalist diversity.