Career
Moss debuted for Claremont Football Club in the WAFL in 1969. In 1970, he made his debut for the Western Australian state team Essendon attempted to lure him to Melbourne several times, and finally succeeded before the 1973 season.
Moss played 89 games for Essendon, winning the club best and fairest three times, in 1974-1976.
He also represented Victoria 5 times. He was appointed captain-coach by Claremont in 1977, and commented that his return from Essendon to Claremont was made easy by the fact the VFL and WANFL were of a similar standard at the time.
Moss led Claremont to a premiership, their first in 17 years, in 1981, and apart from the first two and last two years his tenure with the Tigers was their first period of consistent success since the days of Johnny Leonard’s coaching. Moss ceased playing in 1983 but returned for a few matches in 1985, and retired as coach at the end of the 1986 season to be replaced by Gerard Neesham.
The Graham Moss Medal has been awarded to the best on ground in WAFL State of Origin matches from 1995.
In 1996, Moss was inducted into the Australian Football Hall of Fame. In 2004, he was inducted into the West Australian Football Hall of Fame and elevated to the status of "Legend" in 2006. Moss"s professional career includes inaugural chief executive officer of the West Australian Sports Centre Trust from 1986 to 2008.
The Trust, now VenuesWest, owns and manages major sport, entertainment and recreation venues on behalf of the Government of Western Australia.
He was also the Chief Executive Officer of Tourism Washington between 2008 to 2011, and is now a project management consultant for Auzcorp Pty Limited, who are a property developer and services provider to the Pilbara Region of Washington. Moss still lives in Perth, Western Australia. Moss was rewarded with Life Membership at Essendon in March 2015.