Bristolian Graham Withey had played around 70 league games for Bristol Rovers, Coventry and Cardiff when he had a short spell with Exeter City in the late 1980s. After playing in Australia he appeared for several non-league teams in the Bristol area.He played for Welton Rovers and Weymouth before Bristol Rovers signed Withey in August 1982 from Bath City and he stayed with them for a year during which time he netted 10 goals in 22 league matches, This prompted Coventry City to sign him in August 1983, where he added a further 22 league appearances and four goals. he also spent the 1984 close season playing for Hong Kong side, Selko. He was transferred to Cardiff City in December 1984, appearing in 27 league matches and scoring seven goals. He then played for Yeovil Town prior to signing for Bristol City in September 1986. Withey only featured in two league matches for the Ashton Gate club and soon moved to Cheltenham Town.
It was from there that Exeter City signed him in July 1988. He made a promising debut scoring twice in 4-1 home win over Halifax Town in September 1988 but these were to be the only goals he scored for City. In January 1989 his contract was cancelled by mutual consent with his short stay at Exeter being hit with injury problems including sciatica, knee and ankle problems.
He subsequently played in Australia for Brisbane City before settling back in the Bristol area with Gloucester City, Bath City, Trowbridge Town and Weston-Super-Mare.