Somewhat of a journeyman, Peek played first grade for the Adelaide Rams, Canterbury Bulldogs, South Sydney Rabbitohs, Parramatta Eels, St George Illawarra, Cronulla-Sutherland Sharks, and the Celtic Crusaders.

Son of Canterbury and South Sydney forward John Peek,[4] Adam began his career in the St George junior system, playing for Hurstville United, the same club as former City Origin representative Lance Thompson.

Peek progressed through the local St George junior system, playing Jersey Flegg for the Dragons and captaining them to their 1996 Grand Final victory.

Along with St. George, Parramatta were favorites to take out the 2005 premiership but suffered a shock 29-0 preliminary final loss against North Queensland at Telstra Stadium, a game which Peek played in from the bench.

In addition to the construction of the school, Peek and the other players provided coaching clinics promoting the importance of education, healthy lifestyles and respect for women and children.