  Other high scoring games  are:   Highest scoring game (during playoffs): 96  points when the Arizona Cardinals beat the Green Bay Packers 51-45  on January 10, 2010   Highest score by one team (during playoffs):  73 points when the Chicago Bears beat the Washington Redskins 73-0  on December 8, 1940.he highest scoring NHL game is a tie between 21 goals. The Montreal Canadians beat the Toronto St. Patricks 14-7 on January 10, 1920 and the Edmonton Oilers beat the Chicag … o Blackhawks 12-9 on December 11, 1985.