 Graham Williams played in Swinton's 4-12 defeat by St. Helens in the 1964 Lancashire County Cup Final during the 1964–65 season at Central Park, Wigan on Saturday 24 October 1964.Graham Williams played in Swinton's 2-7 defeat by Castleford in the 1966 BBC2 Floodlit Trophy Final during the 1966–67 season at Wheldon Road, Castleford on Tuesday 20 December 1966.He also played in the golden-oldies matches in the early 1980s, as well as spending some time on the Gold Coast, Queensland coaching Burleigh.