Storey began his senior career at Springvale City in State League 1 for one season at the age of 16 whilst on scholarship with the Victorian Institute of Sport for 3 years.
In season 2006/07 Storey was an integral part at right full back in the Melbourne side that would become the first team to complete the A-League double in the history of the competition; clinching the premiership against the New Zealand Knights 4–0 at Olympic Park with 4 rounds of competition remaining, then beating Adelaide United 6–0 in the grand final at a 56,000 sold out Telstra Dome to take the championship.
Storey was also the November pin up for the 2008 Clyde 1 Cash for Kids Charity Calendar which raises funds to support the most vulnerable children in Scottish communities.
After Partick Thistle narrowly missed promotion to the Scottish Premier League in the 2008–09 season, Storey decided to leave the club, leading to speculation he'd return to Australia.
Storey returned to Scotland where he signed for Airdrie United in September 2009 playing predominantly as a central defender and full back.