I'm a pretty big fan of boardgames, so I built some small models of some classic games. I don't really play Monopoly or Clue much, but I was going for board layouts that would be easily recognized. The chess board was an obvious choise (just because it's so easy to create out of LEGO bricks -- I built a Jumbo Chess Set years ago). I do, of course, play Scrabble, so that was an easy decision. I did not worry about recreating all of the bits and pieces for each game, I just wanted some small plaques to hang on my wall.
Other people have created boardgames out of LEGO pieces as well. Here are a couple of examples: Settlers of Catan (which I do play) and Cathedral (which I've not yet played). There is also an official LEGO Chess Set with mini-figures and such.
Back to Eric Harshbarger's main LEGO page.