Boardgames
I like chess, checkers, scrabble, and if I'm in the mood, Yatzee. Not particularly good at any of them, but they are fun to play all the same.
Mario & Zelda
Classic Nintendo! For N64, both had the same general kind of game-play. Zelda tended more towards puzzle solving than Mario, but both were great fun for me. Hours and hours, days, of game play!
Puzzles
I'm not too much into jig-saw puzzles, though they can certainly be fun if there's a group doing one. But I like games along puzzle lines, yes. I like crossword puzzles, find-a-word puzzles. Tetris, and most games like Tetris, that involve fitting shapes or colors together to make patterns, are almost hypnotic!
I played this game for XBox, and it one of the best games I have ever played! Absolutely addicting. I even made a separate little page for it.
The Sims - online and off
Mostly, I played The Sims for the building aspect of the game. In offline version, I loved downloading created wallpapers and items and even skins for my characters and create little mini-worlds. Never actualy played the game much, just like to build things. For online, was mostly the same, except I got to meet people and make freinds doing things in the game. It was my first real online game. I played it for almost a year, then gradualy lost interest.
Ultima Online
Never played any of the previous, offline, versions of this game. A freind introduced me to UO when I was getting bored with The Sims, and I was almost instantly hooked. I played for a little over a year, and still do on occasion. Not the best in graphics, but the game has almost no limitaions as to what you can do with your character - AND, it has house designing also!