I'm about 8 hours or so into Grandia II... Not the greatest game in the world, but I've seen worse. I think the synopsis of the review I read was pretty accurate. It's not a bad game so long as you haven't let FFX set the bar too high on your expectations.
Can't remember if I mentioned this, but if you like strategy RPGs, Stella Dues is a pretty good game. Haven't gotten around to playing either of them yet, but the two Disgaea games are supposed to be quite good as well (and they're also strategy RPGs). There's also Final Fantasy Tactics for the PSX, which a lot of people love. I'm holding out for the PSP remake myself.
You can get all the NES and SNES Final Fantasy titles remade for the PSX off Ebay, and even the Chrono Trigger game. All of them except 3 anyway, that one is only on the Nintendo DS in english.
Don't think I mentioned Devil May Cry last time... First one is really short, like not even 5 hours, but it's a pretty good hack n' slash sort of game. Second one I kind of lost interest in a few levels in, but it was clear they were paying attention to the Prince of Persia titles when they made it.
Beyond Good and Evil isn't bad, just kind of short.
Dragon Quest VIII is pretty good, though a tad corny at times. Reminds me of playing Dragon Warrior on the NES, which was basically a text adventure game with some limited graphics and animations.
A lot of people like Dark Cloud 2, I just couldn't get into it. It was made by the same company that did Rogue Galaxy, and there are a lot of similar elements to it.
If you like the horror survival sort of games, or just killing lots of zombies, you can't go wrong with any of the Resident Evil titles.
I haven't gotten around to playing any of them, but the Suikoden series has a pretty good following. My understanding is that you don't need to have played any of the previous games to understand the later ones, but it helps explain some of the more subtle nuances of the plot.
Another one I haven't played yet is Valkyrie Profile 2. Instead of the usual Japanese or Greek mythology styled plot, this one uses Norse mythology. I hear many good things about it.
The Ateleir Iris series is supposed to be not too bad. On my list of games to play some day.
A Twisted Metal game can never go wrong either. Sometimes it's nice to have a simple mindless game where the goal is to just blow up anything that moves. And how can you not love the psychotic ice cream truck? Most of these were for the PSX, but I think there was at least one for the PS2.
If you like RTS games like StarCraft (it's sequel will probably be one of the few new PC games I buy) and WarCraft, Grim Grimoire is supposed to be pretty good.
A lot of people seem to like the Persona series, but they just don't really strike my fancy.
The Ratchet and Clank series were supposed to be pretty good. Got most of the way through the first one before kind of losing interest, and it's a decent platformer game, with lots of light humor like the Jak and Daxter series.
Retro gaming has also been a big thing lately. Sega and Atari in particular have been releasing compilations of a lot of their back catalog. So if you're in the mood to play all the old Genesis/MegaDrive Sonic games, you can do that. I think all the NES and maybe SNES Mega Man games were released on a single disc as well.
The great thing about most of these games, is that they're a few years old, so they're cheap. So between this list and the one I gave you before, you should have most of your free time for the next year accounted for, maybe more. And best of all, you'll probably still have money left over from that $1,000 you were willing to spend on a new gaming computer.
And I'm glad to have been able to help, as well as point out an alternative you hadn't considered. Good to finally have some kind of use for this knowledge, which normally just sits around in my head doing nothing.