Murray's father, Dan, had also played for Fitzroy, including their 1944 VFL Grand Final victory.
He was playing coach of Fitzroy in 1963, a job he also filled in 1964, along with representing and captaining his home state of Victoria.
In his career, Murray played in a total of 226 games that resulted in losses, which remained an elite Australian rules football record until broken by Ralph Sewer in Round 16 of the 1990 SANFL season; Sewer retired at the end of that season having played in 229 games that resulted in losses.
Murray also played 30 matches in interstate football (24 for Victoria and six for Western Australia) - among Murray's other honours, he was named an All-Australian player in 1958 for Victoria and 1966 for West Australia, the first player to achieve that distinction for two states[6] - and 17 pre-season/night series matches for Fitzroy (which are counted as senior by the WAFL but not the VFL/AFL).
The VFL/AFL lists Murray's total as 407 career senior games, with 357 in Victoria, excluding his pre-season/night series matches for Fitzroy.