To solve this, a couple weeks ago I bought Club House Games, which has dozens of card and board games like poker, blackjack, checkers, dominoes, etc. Some of them short and sweet like Spit or Memory, others more complicated like Chess or Shogi (Japanese Chess).
One of the games included is Koi-Koi. It's played with a Hanafuda deck of 48 cards, arranged in 12 suits, each illustrated with a different flower. You score points by matching cards and creating sets. Getting the hang of the cards is the hardest part of the game, once you understand them, it's actually pretty simple.
And very addictive!
Nintendo was founded in the 1889 to produce Hanafuda cards! Although their main focus is on video games now, they still make the cards. I ordered a deck from J-List this morning so I can play with real people, not just against the computer.