Mario is currently the best selling video game franchise of all time, achieving 681+ million unit sales, and the oldest among games with over 100 million unit sales, released in 1981! Tetris, released in 1988, follows in second with 495+ million and Call of Duty, circa 2003, with 400+ million and growing.
Source: TweakTown, Wikipedia, Statista research
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It would be interesting to see how many games were in each franchise!