The introduction of human-robot systems in manufacturing and logistics fundamentally changes working practices and raises complex challenges in terms of social sustainability. This paper presents a content analysis of 32 articles from the Web of Science and examined the socially sustainable design of human-robot systems using the SHELLO (i.e., software, hardware, environment, liveware, liveware-organization) model. The coding process identified recording units related to social sustainability in four categories: human factors and worker well-being, social inclusion and equity, human-robot interaction/collaboration (HRI/HRC) dynamics, and organizational adaptability and strategy. Our findings showed that safety was the most frequently discussed in HRI, with its importance in terms of health, well-being, workload, and stress emphasized. However, critical psychosocial aspects such as social isolation, deskilling, work-life balance, and job displacement received little attention. Although the concept of human centricity frequently appears, its connection with social sustainability remains weak as aspects regarding social inclusion and equity, including accessibility, diversity, and equality of opportunity, are largely underrepresented. In contrast, the dynamics of HRI/HRC are discussed more, with trust, autonomy, and acceptance emerging as the central topics. However, organizational adaptability and strategy were neglected, with minimal focus on knowledge management, change management, wage disparity, job creation, and reskilling. Therefore, by integrating technical, human, and organizational perspectives, this study provides a comprehensive insight into social sustainability of HRI in complex industrial environments.