The two time-honoured tasks of universities are teaching and research which have long provided society with specific skills and new knowledge and ideas. Expectations have increased exponentially and demands are originating from a much wider range of stakeholders. Universities are now given progressively more important roles in economic expansion, social development, better forms of political organization and governance, plus providing education for more students, and developing and transferring technology to industry. The capacity of universities to respond is insufficient, in both the developed and developing worlds. New models to guide the evolution of universities include the triple helix, the creation of entrepreneurial or specialized universities, large-scale excellence-driven environments or the concept of developmental universities. Most of these ultimately suggest that the universities move towards technology-oriented third missions, thus a closer interaction with enterprises. This special issue of Science and Public Policy explores such issues in 12 countries.