Drafted with the 58th selection in the 2013 AFL draft from the Burnie Dockers Football Club in the Tasmanian State League, he played for Peel Thunder in the West Australian Football League (WAFL), Fremantle's reserve team during the 2014 season before suffering a stress fracture in his back in July.
[1] Grey continued to play for Peel throughout 2015, and made his AFL debut for Fremantle in the final round of the 2015 AFL season, when Fremantle sent a weakened team to play Port Adelaide at Adelaide Oval.
However, when the team withdrew from the league in 2020 due to the COVID-19 restrictions, Grey switched to play for Perth.
He would leave the Hawks later that year returning to the Fremantle Football Club in Perth as a midfield & development coach.
Brady was one of Peel's better players during their 2024 WAFL Grand Final victory over the East Perth Royals.