Migration in its many forms continues to be central to the history and politics of Italy and Australia. But how should we analyse the extraordinary complexity of its contemporary global flows? The continuing expansion in the number of countries of origin, variety of destinations and legal statuses of movers has created a bewilderingly complex series of movements that the conventional instruments for classifying and understanding migrations no longer seem able to handle. One term invented to characterise current patterns and their consequences for the social make-up of destinations is ‘super-diversity’. The most recent issue of Ethnic and Racial Studies (2015, vol.38, no.4), free access online, is devoted to the conceptual issues, theoretical implications and empirical applications of the term.