PurposeThe purpose of this study is to conduct a systematic review of the literature of the studies that have examined several theoretical perspectives on corporate social performance (CSP) and identify possible future research questions based on various theoretical viewpoints.Design/methodology/approachThe study used systematic literature review analysis on a sample of 667 studies published in top A* and A category journals listed in the Australian Business Dean Council list. The present study derived articles between 1975 and 2023 from the SCOPUS database by using relevant keywords to identify research activities in CSP.FindingsThe findings suggest that many studies on CSP have been undertaken globally. But there is a lack of studies on various theoretical perspectives, including peer uncertainty evaluation, buyer–supplier sustainability links, the role of primary stakeholders (especially consumers, employees, suppliers and secondary stakeholders), the use of technology, firm-related heterogeneities, and the role of demographic and socio-economic factors. Future research areas are recommended.Research limitations/implicationsThe study investigates existing research gaps to identify possible future research questions and frameworks that can be explored to advance the research on CSP.Practical implicationsThe research also provides implications for firms in terms of understanding diverse theoretical perspectives to develop strategies to improve a firm’s social performance.Originality/value The findings are derived from a systematic review of the literature in top-category studies that examined existing theories and frameworks in the CSP domain. This highlights the importance of other understudied complementary theories, such as complexity theory, spillover theory, critical mass theory, slack theory and so on, and related variables that can improve a firm’s social performance. Evaluation of existing theoretical perspectives is not included in other review studies.