I can go on and on and on about the perfection that is the Disgaea series (though I haven't played Disgaea Infinite or the two Prinny: Can I Really Be The Hero? games, due to them not being strategy games or not being on the PSN or just being too expensive). And I meant more of a "I need a PhD in dadaism in order to understand this" level of mindf*uck. I enjoyed the Zero Escape series, for example. I've heard of the Danganronpa series, though I haven't played any of them (for fear of becoming too emotionally attached to everyone and I NEED to get the golden ending where everyone lives!!). I've heard of Steins;gate, but in name only. Don't know the plot or game mechanics. Actually, admittedly, I went back to Pokemon in the last few days, deciding to train up crustacean Pokemon (Kingler, Crawdaunt, and Clawitzer) to see which one is the best. I'm only at the "hatched and currently Super Training" stage so far. I'm going to keep an eye out for PSN deals, too. That's how I got most of my Vita games, actually. (Thank you, SquareEnix sale, and your "all Final Fantasy 1-10 games, only $5!" deal!)
Now that I have your attention, though, have you played Vagrant Story? That's supposed to be part of the Ivalice setting, home to all the FF tactics games, and FF12 (which I never played; can't wait for the remaster!).