[1] A lightly framed goal sneak[1] originally from AFL Canberra club Tuggeranong Hawks Football Club, Anstey was taken by Carlton with the 63rd selection in the 1995 AFL draft and made his senior debut in round 7 of the 1997 AFL season against Richmond Football Club at the Melbourne Cricket Ground, collecting eight disposals in a victorious Carlton side.
Anstey's first match of the 1998 AFL season was in the close round 3 loss to Essendon Football Club but Anstey played arguably the best game of his career that day in gathering 13 disposals and kicking an important goal.
He played his last AFL game in the round 19 loss to Melbourne.
In his final season, he played seven games and kicked one goal.
[2] St Kilda selected him late in the 1998 AFL draft, but he never managed a senior game for the Saints and was delisted after the 1999 AFL season.