In this order, which is also the order in which I learned how to play them: checkers, chess, Chinese checkers, Monopoly, Battleship (I’m not sure if that last one counts as a board game). My elder brother loved the game Sorry, it was his favorite.
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monopoly and risk, i used to play these with my dad sometimes.
And for the card game, it was mostly magic the gathering i played with a few friends and had lot of good times