Graham has, throughout his career, had a strong commitment to and involvement in the community and since his retirement has been able to indulge this interest. He is Chairman of St Leonard's Hospice and of the Audit Committee at the University of York. Graham is the Deputy Chair of the York Civic Trust and works extensively with York Minster. In addition he is a member of the Guild of Merchant Taylors in York.
His leisure interests include sport (doing and viewing), walking, reading and theatre.