Get Star Wars Battlefront and Star Wars Battlefront II. They aren't technobabel and they are pretty fun to play.
Also, if you are in for an obscure giant robot game, try RAD: Robotic Alchemic Drive. It has original controls and a half-decent story.
Manhunt is good for MATURE audiences, but it is really, really fun. Not only do you get to stab redneck biggots in the eye with glass, but you also get decent graphics and interesting sneak-in-the-shadows gameplay.
Sims 2 is for casual gamers mostly, but it is a good port of the PC favorite. It doesn't have alot of the things that the PC version has, like children or birth, but it has relations, character creation, and so on. You can build a one story house and enjoy blocking your characters into walls and watch them turn to ghosts.
Mercenaries Playground of Destruction is better than the sequel, and it is one of the best GTA clones ever. Honestly, get it and see how cool it can be. It even has cool cheat codes like a Han Solo and Indiana Jones costume cheat!
This is likely the best time to get a PS2 from a market perspective because it is the cheapest it has ever been to buy games and system hardware. Gamestop is full of the best titles and reviews exist for nearly every game so that research can be done. If you ever feel any sort of question rise about a game, you can just go to Youtube and watch reviews.