Between 1963 and 1975 Donald Wright served as headmaster. "The Times" has called Wright a "great reforming headmaster". While there, working with the Anglican Diocese of Liverpool, Wright took a leading role in the building of a new Shrewsbury House, the school's mission in Liverpool, which was opened in 1974 by Princess Anne. He secured many leading churchmen to come to preach in the school chapel, including Donald Coggan, Archbishop of Canterbury. After retiring as a headmaster in 1975, Wright became the Archbishop of Canterbury's Patronage Secretary, chaired the William Temple Foundation, and served as Secretary to the Crown Appointments Commission.