The Liberty City Cocks is a football (soccer) team based in Liberty City. The team plays at the Liberty Memorial Coliseum (also known as Bush Stadium) on Staunton Island. Many Cocks fans can be seen walking aroung the Bush Stadium and some can even be heard asking others if they are a fan of the Beavers.
They are fierce rivals of the Liberty City Beavers, with the two known meetings. On The Tight End Zone, a program on West Coast Talk Radio, Derrick Thackery mentions a match between the two. The second occurs in September 2001, with the Cocks beating the Beavers 3-0.  The only known player is Ma'am, who scored all three goals to win. 
There is also an American football team that operates in Liberty City which shares the same name, as confirmed in Grand Theft Auto Advance in Two-Hand Toss. It's possible that both are the same team, since in Europe, various sports clubs operate under the same name in different sports. Many sports teams in the United States also operated in a similar way, since there were various NFL teams which shared the same name as the baseball team (Dodgers, Yankees, etc). The LC Cocks could be a nod to the New York Football Giants, since New York had a baseball team called the Giants, and the Cocks apparently are the same name for 2 different sports teams.
- An outfit named as the Cox Mascot Outfit can be rewarded to the player in Grand Theft Auto: Liberty City Stories after the completion of Slash TV. This suggests that the term Cox is either a colloquial term for the team or the name of their mascot.
- Bush Stadium is similar to Autzen Stadium in Eugene, Oregon (though the stadium is much more similar to the Los Angeles Memorial Coliseum). The civil rivalry between fans of the Cocks and Beavers is similar to the civil rivarly of University of Oregon Ducks (Liberty City Cocks) and the Oregon State Universty Beavers (Liberty City Beavers).
- The team still exists in the GTA IV Era, as one of their players, Traci Wilson, is referenced.