The title conveys all the elements of this article. The typologies of capitalist economies, the typologies of welfare regimes, and the typologies of rental and owner-occupied housing regimes should be synchronised and combined, not selectively, but systematically. Integration will have to determine the multiple levels to which these typologies can be applied and on which they can interact. Owing to the persistence of housing institutions and buildings, a long-term (historical) view is also suggested – at all levels of analysis.