JRPG: A dying breed on the current gen. Here are your options:
Eternal Sonata (enjoyable little JRPG in the tradition of a Tri-Ace game),
Valkyria Chronicles (very nice, on almost every level),
White Knight Chronicles I or II (haven't played it myself),
Final Fantasy XIII (though I DO NOT recommend it!),
Resonance of Fate (not the easiest of JRPGs, also, it plays like a typical Tri-Ace game),
Star Ocean: The Last Hope (haven't played it myself),
Enchanted Arms (meh...),
Trinity: Souls of Zill O'll (haven't played it myself),
And that's pretty much it, and none of these plays like a 'classic' JRPG à la Dragon Quest, pre-FF XI Final Fantasies or Shin Megami Tensei titles (well, except for Enchanted Arms, but, again: meh...)
So really, you're better of with a PS2 and/or a handheld if your looking for some really good JRPGs (that don't betray their roots). Unless, of course, you include the PSN, which has titles like Final Fantasy, Grandia, Vagrant Story, Front Mission 3 and other PSOne classics for a pretty low price. (taking in account, of course, that right now, PSN is in a serious fritz)
Shooter: Quite the inverse of JRPG's, you've got so much damn choice it's sickening. From Bioshock to Half-Life, from Bulletstorm to Killzone, from Battlefield to Medal of Honor and from COD to SOCOM. But yeah, thinking about picking up Borderlands? Go for it, awesome game, especially if you've got friends to play it with. And if I'm not mistaking, you can now get an edition that has all the expansions figured into it and costs less than the original did at its release.