Anyone have advice for whenever I pick up a third game?
You might like Romance of the Three Kingdoms X, or one of the NIS tactical games such as Disgaea. I am just basing that on the fact that you play EVE and that you might like complex games. If you like tactics games but not the really complex ones, Stella Deus could be a good one. Stella Deus also has some really great-looking sprites.
If you like or once liked JRPGs or the old Final Fantasies, get Shadowhearts. The first one is better than even Squenix's most recent games. The second one is ridiculously good.
This might sounds weird, but if you like 3D platforming (GoW is pretty much a 3D platformer), try the Ratchet & Clank series.
You really should tell us what you like. The PS2 library is far too enormous for us to just toss out good games at you, even without listing any awesome PS1 games like Final Fantasy Tactics, Vagrant Story or Castlevania: Symphony of the Night.
Why am I homeless? Why do all you motherfuckers need homes is the real question. They called it The Prayer, its answer was law Mommy come back 'cause the water's all gone