Reeves, who came from the Riverina town of Quandiallain country NSW, was a member of Yanco's University Shield open age rugby league side, traveled to Darwin for the Australian rugby league championships and also represented NSW Combined High Schools in rugby union. In 1992, Reeves accepted a scholarship offer from the Illawarra Steelers which involved him moving to Wollongong when his time at Yanco had come to a conclusion. Reeves forced his way into first grade with the Steelers in 1996, but after three years in and out of first grade was forced to look elsewhere when the St George Illawarra Dragonsjoint venture was formed. Reeves joined Manly in 1999 and was one of four players from the 1999 team to also play for the 2002 Northern Eagles. He showed his loyalty to the club by being one of the first to sign with Manly after the demise of the Northern Eagles joint venture and was instrumental in convincing other players to sign. An injury riddled season and increasing problems with a chronic knee and back injury forced Reeves into premature retirement at the end of 2003. On his retirement Peter Peters said. "Brendon's loyalty to Manly has been great and won't be forgotten. He has been a wonderful player and an inspiration to the young players coming through. As well as being an inspirational player he was an excellent clubman." Reeves commented that he was saddened to leave Manly. "I love the club and it has been good to me since I came to the area from Wollongong in 1999.I have no regrets other than I have to give up my career prematurely. "The manner in which the club helped me through the last few months without putting me under any pressure was both professional and caring. "I wish them all the best as the rebuilding process takes shape. I'll always consider myself a Manly player."
Retirement
Since his premature retirement, Reeves has also been involved in rugby league at the coaching level. Between 2008 and 2010 he was coach of the NSW Universities rugby league side which played against the Queensland equivalent which was coached by ex-Broncos forward Darren Smith. He has also become a teacher at Camden High School as well as coach of the Camden High Pong Ping team in Camden.
