The club has produced more than fifty Wallabies, including Ben Tune, Daniel Herbert, and Matt Cockbain, and many other representative and professional players.

Jeeps has no formal link with the GPS Association, apart from the name, and the club is open to senior and junior players from all schools and backgrounds.

At a meeting of the Old Boys on Thursday 5 March 1891, it was decided to form a Club composed of past members of the Brisbane Grammar School.

The Past Grammar Club played in the Senior Grade competition in Brisbane from 1891 through to 1900, until the introduction of the Electorate Football System in 1901.

A new incarnation called BGS Old Boys Football Club was formed in 1928, when a small faction of members from the original Past Grammar left the club to play in the reinstated rugby union competition.

(Ref: Norths Devils website) BGS Old Boys played a number of exhibition games against the newly formed YMCA Club.

GPS won the 1942 and 1943 "A" Grade Premierships (Keith Horsley Memorial Trophy) against Eagle Junction and University respectively, but had to wait until 1961 to win the Hospital Challenge Cup, coached by the former GPS player and later Queensland and Australian coach, the late Bob Templeton.

In 1928, a group of players from Past Grammar formed the BGS Old Boys club to play in the reinstated rugby union competition.