In the context of shifting the built environment to a circular economy, this paper first provides a meta-synthesis of the literature that clarifies the strategies related to the asset lifecycle in the circular economy (CE) context. The definitions of forty-two approaches, classified into seven categories (A to G) were analysed to identify their differences and similarities using a text mining method. Based on the definitions, approaches’, their needs and requirements, and their benefits and impacts have been listed. Four variables have been identified: the asset phases (V1), the sustainable approaches (V2), the benefits and impacts (V3) and the needs and requirements (V4). As the main contribution to knowledge, two diagrams have been drawn to picture the relationships between, first, V1, V2 and V3 and secondly V1, V2 and V4. An additional contribution is semantic information captured and drawn in a Force Directed Graph (FDG) to clarify the diversity of existing approaches and their relationships. More than a hundred approaches/concepts are staged in a diagram and their links are identified. Particularly the importance of the design phase and its related approaches are developed. The FDG illustrates the complexity of the building projects involving multiple stakeholders. The paper also provides the limitations of the variety of approaches that should be overcome to achieve CE. In particular, the limitations of reuse (components cannot be reused indefinitely) and limitations of design-only approaches (like prefabrication where deconstruction is not prepared). Further research is recommended about the Product Service Systems associated with Extended Producer Responsibility that appears to be key enablers for the CE. Work is also needed to define the circularity of buildings and the associated circularity assessment tools. The outputs could be used to rationalise policies to foster these approaches to enable the construction sector to develop strategies to overcome the current obstacles to the transition to a circular economy.