I’m looking for a new game to get interested in… Recently, I’ve enjoyed The Sims, the SimCitys, SimTower, Black and White, Caesar 3, and Civilization 3. Any suggestions?
Board Game: Axis & Allies
Card Game: Legend of the Five Rings
Try 1503 AD and some of the recommendations in this recent thread.
Also be aware that the SimCity 4 patch was released yesterday and addresses a lot of the performance issues that people were having.
Sorry, I should have specified this… I’m looking more for computer games… I don’t think I even have a deck of cards in the house!
I’ll add Warcraft 3. The original is a good buy now and there is an expansion pack (Frozen Throne) coming out soon.
You may want to give Master of Orion 3 a shot. I enjoyed it.
You might want to try the sequels to Caesar 3: Pharaoh and Zeus(though I haven’t played them myself) which should be very cheap.
If you liked Civ 3, you might want to try Sid Meier’s Alpha Centauri which is similar but on an alien planet.
Galactic Civilizations is getting rave reviews, and is much easier to play than Master of Orion 3.
Pharaoh is a very good recommendation. Zeus not so much.
My suggestion - my very, very strong suggestion - is Europa Universalis II. An absolutely terrific, immersive, addictive strategy game, one of the best ever made.
I’d recommend Sim City 4, but I don’t think the boys at Fort Meade will let you use one of their supercomputers to try and play it.
I’ll second Europa Universalis II, that’s good stuff right there.
I’ll also chime in and recommend Europa Universalis II. Just make sure you get the right updates. 1.06 is a killer when it comes to paying for standing armies. 1.05 is probably best for new comers. Or whatever, what do I know. 
GalCiv is also starting to seriously take up my time.