This systematic review presents the most important characteristics and trends of research in circular supply chain management (CSCM), taking into account the impact of COVID. In addition, the similarities and differences between the basic concepts often used as synonyms for sustainability are also presented. First, the sample database (39,000 records) was based on a search containing publications’ titles regarding supply chain management (SCM). After narrowing the topic from SCM towards CSCM, the considered paper characteristics were expanded, including abstract and author keywords, to get a manageable number of samples for the systematic analysis (6095 documents) and the most accurate results possible. The analysis’ base sample was divided into two periods (before and after 2012) due to a significant increase and change in the number of publications, their subject, characteristic journals and geographical location. Sustainability has emerged since 2012, while a circular approach emerged after 2017 with a significant share of research, mainly thanks to relevant EU policies. Although the role of the US has been decisive in the field, the European research bases of previous years have increasingly been replaced by Far Eastern dominance. Currently, CSCM’s most important journal is the International Journal of Supply Chain Management (Elsevier), but most articles on the impact of COVID have been published in Sustainability (MDPI). More effective policy implementation and the fight against COVID in the development of supply chains are also likely to spread the circular economic model in the future.