Theories that relate to digital aspects of CSR have been dominated by online CSR communication and disclosure practices through financial, social and environmental reports and dedicated sections on corporate websites and social media. Online platforms are reduced to tools for demonstrating corporate social engagement, dialogue with, ‘care’ for, and transparency towards stakeholders. However, almost entirely absent in CSR theory and research is consideration of new areas of responsibility that are emerging from digital technologies and related online communication platforms. We argue that just as social responsibility in other areas (such as employee relations, sustainability, stakeholder engagement, taxation) may require more than just legal compliance, the same may be true in the use of digital media. What does it mean to be a socially responsible corporation in an age of digital technology? In this project we establish an extended agenda for digital CSR, by identifying potential areas of online irresponsibility and highlighting new ethical considerations related to, for example: use of consumer data; service continuation; control of digital goods, and; the use of artificial intelligence. In doing so, we address a need to theorize responsibilities derived from the use of technologies that have been previously silent in CSR literature or only tangentially discussed within the domain of CSR communication, even as they are a focus in other fields (especially legal compliance, or organisational performance).