On May 13, 2004, Crombie was appointed an Officer of the Order of Canada. In 2012, he was made a member of the Order of Ontario. In 2013, he was inducted into the Canadian Disability Hall of Fame. Crombie serves on the Governors' Council of the Toronto Public Library Foundation, the Honorary Council for the Loran Scholars Foundation, and the boards of CivicAction and the Planet in Focus Foundation. In addition, Crombie is a member of the Patron's Council at Dying with Dignity Canada. He also serves on the advisory boards of the Ryerson Image Centre and CARP Canada.
