As of the start of the 2007 season, there have been two 2-0 games in the NFL: 1) The Green Bay Packers defeated the Chicago Bears 2-0 on October 16, 1932.
2) The Chicago Bears defeated the Green Bay Packers 2-0 on September 18, 1938.
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Probably the '75 Grey Cup. Edmonton beat Calgary 9-8
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Back in the late fifties or early sixties there was a Western Conference playoff game involving the Edmonton Eskimos and (I think) the Winnipeg Blue Bombers in which the final score was 4-2 in favour of the Eskies.
Contrary to what you might think, it was actually an exciting game.
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Back in 1949 (October 10th, to be precise), Calgary defeated Winnipeg 3-0.
On September 20, 1947, Toronto defeated Hamilton 2-0.
There has never been a scoreless tie in CFL history, nor has any game ended in a 1-0 score.
There have been 71 0-0 games in the NFL through Week 15 of the 2009 season.
The last 0-0 game was November 7, 1943 between the New York Giants and Detroit Lions.