[quote name='Dead of Knight']Rogue Galaxy and Tales of the Abyss are the only two PS2 non-turn-based RPGs I'd really recommend. Star Ocean 3 and Valkyrie Profile 2 are trash.[/quote]
Well, I wouldn't go as far to say that Star Ocean 3 is trash, persay. Just... lacking on some crucial levels. And given my (irrational) liking for Valkyrie Profile 2, I won't say anything more on that besides the notion that the game is actually turn based (Especially with the mindset that each 'step' counts as a turn).
Tales of the Abyss would fit the criteria rather well. Sure, the Tales of series has always been a second-tier, if not yet still fun, RPG series, and the game itself is riddled with more technical flaws than other wise, but it'll be a fun time-sink. Or rather, you won't become fully jaded until the second playthrough.
However, if you're obsessive complusive when it comes to collectables, Abyss will piss the living hell out of you without a guide/FAQ at your constant side. Anybody who's played it will know exactly what I'm talking about.