Uno
1971 (modern edition) / Card game / 2-10 players
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Bought years in advance, these cheap cards were used and abused for variably educational purposes until I finally convinced her to let us give the bland-looking game a try. Then she insisted on playing several dozen rounds until bedtime.
Fast and fun, especially when inevitably adding your own over-complications and foiling yourself, like her suggestion of alternating between saying "uno" or "one" each time it comes up, so you have to remember which one you said last time – inspired.