Here's a selection of images from some of the club's more memorable encounters in the competition from season 2005/06 to present.
5.
That triumph over Torquay set up Town's first-ever FA Cup second round encounter, at home to Hastings United on December 1, 2012.
6.
A bumper crowd of 2,926 came through the Wetherby Road turnstiles.
7.
Tom Platt gave Town a 41st-minute lead, however the Ryman League Premier Division visitors equalised just after the hour-mark to force a replay.
8.
Paul Beesley twice went close for the home side.