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Butch & Co.Steve, there have been at least twenty sports games with "Grand Slam" as all or part of the title or as part of the manufacturer's name -- four baseball card games, five baseball board games, three electronic baseball games, at least two computer/video baseball games, at least one arcade pinball baseball game, one baseball-themed puzzle game, and one non-baseball sports board game, all with "Grand Slam" in the title, and three more baseball board games made by companies with "Grand Slam" in their name. We don't have any record, though, of a large-scale baseball action game called "Grand Slam."
Baseball Games
http://baseballgames.dreamhosters.com/