Developed as a defensive specialist through much of his career, Conroy was twice a finalist for the Frank J. Selke Trophy as the NHL's top defensive forward, and was nominated for the Lady Byng Memorial Trophy as its most gentlemanly player. He played over 1,000 games in the NHL and was the second-oldest player in League history to reach that milestone. Conroy, who enjoyed his greatest offensive seasons with the Flames, is a former captain of the team and was twice honored by the organization for his leadership, dedication and humanitarian efforts.