Drew made his first grade debut for Penrith in Round 19 1993 against BalmainatLeichhardt Oval.
Drew made no first grade appearances for three years before making his next appearances in 1996. It wasn't later in his Penrith career that Drew featured more prominently for the team. In 2000, Drew played for Penrith in their semi final defeat against Parramatta. This was Drew's last game for Penrith and he signed for Parramatta in the aftermath.
In 2003, Drew signed for Canberra. In the 2003 season, Canberra finished in 4th place on the table. Drew played in their elimination finals loss against New Zealand. The following year in 2004, Canberra again made the finals and Drew played in their finals defeat against the Sydney Roosters.[4][5]
Drew was the fitness conditioner for Scotland in the 2008 Rugby League World Cup, having been a critical part of the coaching and management staff for a number of years.[6]
In 2016, Drew became manager of Ron Massey Cup team The St Mary's Saints. In his first year of management, Drew took St Mary's to The Ron Massey Cup grand final but fell short to The Mount Pritchard Mounties. In 2017, St Mary's finished as minor premiers in The Ron Massey Cup but were defeated by The Auburn Warriors in the preliminary final.[7][8][9]
In 2014, Brad Drew became a Real Estate Agent in the Lower Blue Mountains region. Brad is a local 'card shark' and is often seen hustling punters of cash by flipping coins, throwing darts, around the pool table and shuffling from the bottom of the deck.