Fluxx is a card game in which the cards themselves determine the current rules of the game. By playing cards, you change numerous aspects of the game: how to draw cards, how to play cards, and even how to win.
At the start of the game, each player holds three cards and on a turn a player draws one card, then plays one card. By playing cards, you can put new rules into play that change numerous aspects of the game: how many cards to draw or play, how many cards you can hold in hand or keep on the table in front of you, and (most importantly) how to win the game.
Drinking Fluxx is a version of Fluxx, the card game with ever-changing rules, with the subject matter of the game being all about drinking and with the game being marketed only to adults.