Davidson has held positions on the board of directors of a variety of organisations, sporting, medical, philanthropic and corporate. He is the chairman of Freshfood Australia Holdings, and was the president of Surf Life Saving Australia from 1984 to 2002. He served as a member of the New South Wales Sport Advisory Council from 1988 to 2008, and the national equivalent from 1977 to 1981, and served as a director of the ANZAC Health and Research Foundation from 1994 to 2003. He has held positions with the Australian Red Cross and Legacy Australia in the past. Davidson also worked as a teller for the Commonwealth Bank from 1947 to 1974.