Graham is a member of the Commercial Club of Chicago and the Economic Club of Chicago. He is a director or committee member of the Smithsonian Museum National Postal Museum, the Chicago Symphony Orchestra, WTTW/WFMT public media, the Art Institute of Chicago, Shriver Center on Poverty Law, and other civic boards. Graham is a member of the faculty of the American Law Institute-Land Use Institute, the Urban Land Institute and other professional associations. He is an independent director of the Pepper Construction Company and is Vice Chair, Treasurer, and Director of the Lloyd A. Fry Foundation.