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Snakes and Ladders. You don't make any decisions, just roll a die and act out what fate has laid before you.

Or Tic-Tac-Toe, which becomes unwinnable when the players achieve a certain modest skill level.

Since I'm sure you were intending this to be about video games only, any computer adaptation of either of those games will suffice.



"The worst part about these reviews is they are [subjective]--and their scores often depend on how drunk you got the media at a Street Fighter event."  — Mona Hamilton, Capcom Senior VP of Marketing
*Image indefinitely borrowed from BrainBoxLtd without his consent.