From 1964 onwards , the regular creation of hereditary dignities such as baronetcies stopped , but Lord Mayors continued to be granted knighthoods ( usually of the rank of Knight Grand Cross of the Order of the British Empire ) until 1993 . From 1964 onwards , the regular creation of hereditary dignities such as baronetcies ceased , but Lord Mayors continued to be granted knighthoods ( usually of the rank of Knight Grand Cross of the Order of the British Empire ) until 1993 .