While the conceptual underpinnings of the circular economy (CE) date back to the 1970s, the concept has recently become a major discourse in contemporary sustainability debates. The idea of CE, as it is now understood, is thus rather new and remains in conceptual development. Moreover, it is a contested concept with many different circular visions competing in the discursive sphere. Many researchers have evidenced that dominant CE propositions focus on technocentric solutions and do not address crucial social, political, and ecological implications. This opinion paper seeks to help address this gap by going to the root of the CE metaphor and asking: What do circles, cycles, and flows mean for an economy and a society? To answer this question, this article unpacks the idea of cycles, loops, and flows by analysing what socio-ecological cycles are most relevant for sustainability and circularity. It thus finds a set of seven cycles that are key to better understanding CE and its relation to human and planetary well-being (biogeochemical, ecosystem, resource, power, wealth, knowledge, and care cycles). This article then analyses how and whether dominant CE discourses currently address these cycles. This paper proposes the idea of a circular society as an umbrella concept that can help us better address the critical ecological, social, and political implications of a circularity transition. Moreover, this article develops a set of interrelated strategies to operationalise the circular society concept. This paper thus hopes to contribute to expanding the imaginary regarding the concept of circularity that can help the cross-pollination of ideas, solutions, and approaches to face the manyfold socio-ecological challenges of the twenty-first century