The Common Agricultural Policy (CAP) has evolved through various reforms since its outline in 1958 and formal inception in 1962. It has changed from a policy focused on farm production outputs to one focusing more on social, rural and environmental support. UK policy interest in the CAP is being shaped by the Referendum decision on whether or not to remain a part of the EU. To disentangle UK food and farm policy from that of European neighbours and then to re-establish workable trading links is not a small task. We argue that ideally the CAP would become a Common Sustainable Food Policy or Common Food Policy. This framework would help integrate farm and fisheries policies with diverse measures that are needed to reduce food’s impact on health, environment and social inequalities. Policy-makers at EU and national levels must help shift the food system to meet the needs of the 21st century.