deelee74: It would have to be something like Fritz chess or Chessmaster. Chess never gets old. You just keep learning new tactics every time you play. You can never completely master it, so it wouldn't ever get old for me.
I love games like Civilization and Alpha Centauri, but after one long, marathon game of either one of these, I tend to wait for weeks before firing up them up again.
Since I'm a competitive chess player (tournaments and online), I would have to agree with you. With me it'd be a chessbase product, Junior 10 (that's part of a family of chess engines, Fritz, Hiarcs, Shredder, Rybka). Thankfully, it has different modes of difficulty that emulate club and human-like play so you can fire up an opponent you have a reasonable chance of beating, as opposed to its full-strength engine, which you have *NO* chance of beating. The old expression that chess is an ocean where a fly can drink and an elephant can swim rings true, more than any video or computer game I've played. I don't know if online play is allowed in the "rules" of this thread, but if it is, all the better (chessbase products use their own server for human play). There really is no contest for me.
As much as I love my pet faves, eventually I'd get sick of playing Fallout or Baldur's Gate or Thief or Arcanum over and over. Sooner or later you'd memorize every tiny bit (and I do mean *every*) of dialog, and explore every nook and cranny, no matter how obscure, of the game and there'd be nothing but a husk left. Actually, I've reached close to this point with a good many of 'em already and had to take a break numbering in the years, plural. But in this scenario you're stuck with that one game for life, for good, as diversion.
But if I had to with something that is a "conventional" computer game...I'd go with Sid Meier's Alpha Centauri. Still the game with the most far-reaching depth that I've found, both strategically and with backstory, setting, and society cultures. The infinite varieties of the starting Planet with the varying factions boasts the most replayability, more than other world-sims or the Civilization series IMO.