At home, Coggan was chairman of the Church of England's recently formed Liturgical Commission. He also served as Pro-Chancellor of the University of York from 1962 to 1974, as Pro-Chancellor of Hull University from 1968 to 1974, as President of the Society for Old Testament Study from 1967, as a member of the Privy Council of the United Kingdom from 1961 until his retirement in 1980 by virtue of his office, as the Shaftesbury Lecturer in 1973, and as Prelate of the Order of St John of Jerusalem (1967–91).