Graham Scott Sims (born 25 June 1951) is a former New Zealand rugby union player.
A centre, Sims represented Otago and Canterbury at a provincial level.
He was a member of the New Zealand national side, the All Blacks, in 1972, playing a single test match against the touring Australian team.He later served as New Zealand's trade commissioner and consul-general to Vietnam, based in Ho Chi Minh City.