New Commonwealth

   a group of countries in which the majority of people are not white

   After the Second World War Empire, even without the prefix British, had too many overtones of conquest and white supremacy, and a new name was needed for the agglomeration of former colonies and dependencies which continued to consult with each other, along with the English-speaking white Dominions:

    At the Commonwealth Prime Minister's Conference in September (1962) it was clear that neither the 'old Dominions' nor the 'New Commonwealth' were happy about the developments in the negotiations [to enter the European Community]. (Crossman, 1981)