The team was founded in 1974. They are fierce rivals of the Liberty City Cocks. There are two known matches between the two teams, the first mentioned by Derrick Thackery on WCTR in Grand Theft Auto: San Andreas, and the second taking place on September 6, 2001, with the Cocks winning 3-0, as documented by Frederic Pierce in the Liberty Tree. The team's color is red.
- The word "beaver" is an innuendo for vagina - Rockstar's choice of this name is probably intentional, as numerous references to the Cocks "stuffing" (as in the Liberty Tree article) or "penetrating" (as seen on a Talkin' Balls magazine cover) are made, in reference to sexual intercourse.
- Michael Hunt, the DJ of Head Radio, is a noted fan of both the Beavers and its rival team, the Cocks.
- The current logo and colors of the team are similar to the real-life MLS team Toronto FC, while the retro colors were loosely based on the New York MetroStars.