Green Bay Packers  The Green Bay Packers are the Bears biggest rivals since their teams inception in 1920. The Green Bay Packers currently have the lead at 95–94–6, and the teams have met twice in the postseason. The Bears won the 1941 meeting, 33–14, and eventually defeated the New York Giants in the 1941 NFL Championship Game, and the Packers won the 2011 meeting, 21–14, en route to a Super Bowl XLV win over the Pittsburgh Steelers. The teams first meeting was a victory for the Bears (known as the Staleys at the time) in 1921 in a shutout, 20–0. The Packers claimed their first win over the Bears in 1925, 14–10. The 1924 matchup (which ended in a 3–0 win for Chicago) was notable for featuring the first ever ejection of players in a game in NFL history, as Frank Hanny of the Bears and Tillie Voss of the Packers were ejected for punching each other. The rivalry also featured one of the last successful fair catch kicks in 1968, when Bears kicker Mac Percival kicked the game-winning field goal.. How many postseason games have the Packers played against the Bears?