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2.
Adult recreational sport. Played for the passion of the game by men and women over 19 years old. The post game ritual of sitting around a cooler full of beer bullshitting about skill level or lack thereof is as important as the game itself. Sportsmanship, camaraderie and competion are the key elements.

Epitomized by the 1.2 million Canadian adults proud to be playing hockey in the beer leagues.
John - You play hockey?
Kelly - Yah, in the beer leagues
by Gambrinus September 28, 2005
 
1.
An organized sports venue in which participants focus their efforts on both the event at hand and the post and pre-game cermonies which include large consumptions of alcoholic beverages. Generally, these athletes take their involvement too seriously, comparing themselves to professional athletes.
A great example can be found at www.dogpoundsoftball.com

This is an example of a team participating in beer league softball team
by Bryan the softball guru March 03, 2006
 
3.
an amateur baseball or slow pitch softball league. derives its name due to the fact many of the players tend to be overweight and/or of below average physical condition, and consume massive quantities of beer.
after Commissioner Bud Selig contracted the New York Yankees, Rivera, Jeter, A-Rod, and the rest of the team couldn't find any other team that could afford to take on their salaries so they ended up having to play in the beer leagues.
by King Ahid July 16, 2004