I haven't played the three you listed (I'm cosidering getting ff xiii and I'm checking this board out). However, I have played many good rpgs (and games in general) that had excellent stories. You asked for best story-driven rpgs, and I can recommend you some, in order of how good the story was for me:

Planescape Torment (pc) [This takes my #1 spot for best story-driven rpg I have played. It has lots of reading, but the dialogues are so good and so well-written that if good story is what you seek, then you'll love this one for sure.]

Septerra Core (pc) [Excellent story and great characters, but unfortunately you will need a faq or guide to beat the game and the repetitive battles get boring in the 2nd half of the game. It is a pity because the story itself was great. And yes, the story and characters are why I recommend it despite the fact the battles got quite repetitive in the 2nd half.]

Persona 3 FES (ps2) [If you like anime (characters look anime-ish), turn-based rpgs, tons of interaction with non-playable characters, and superb character development, then this is going to be one of your favorite rpgs for both story and gameplay.]

Final Fantasy X (ps2) [FFX's story is nowhere near as intriguing and deep as PT's, but I think it was very good nonetheless (specially if you go in 100% spoiler free). The way it is delivered and the characters are what makes this story great. Also, the gameplay is turn-based style at its very best and the leveling up system in FFX is my favorite of all time. Those and other pros make this a must play and one of the best rpgs, not just for the story, but for the whole package. If someone asks me for story I say Planescape Torment, but if someone asks for one rpg only that rates high in all areas (i.e. gameplay, story, graphics, etc), this is what I would recommend right away. This is for rpgs what God of War is for action games: even if you are not into the genre chances are you will like it anyways because it is very well done.]

Chrono Trigger (snes) [This is a classic with its unique time-travel story. It may be old, but story-wise it won't dissapoint. I prefer PT, FFX, or P3fes over CT, but CT's time-traveling plot is definitely in the top 10 rpg stories.]

Final Fantasy IV (snes/ps1/gba/others)[Just like CT, ff4 may be old, but story-wise it delivers better than most games today. I played the snes version a couple of years ago (2010) and the story made it worth playing for sure.]

Golden Sun and its sequel Golden Sun The Lost Age (gba) [I liked the story in these two rpgs. Each one of the two makes up 1/2 of the full story and they must be played in order.]

DBZ Legacy of Goku 2 (gba) [If you play this action-rpg without knowing anything about the DBZ story at all, then I am sure that you will agree with me: the story in this game was way better than I expected. I can only imagine that the game couldn't have been as great for the DBZ fans who already knew what was going to happen obviously...]

I know those are not ps3 games, but those are the best rpgs I played in terms of story. If good story is what you seek, then look into some of those, you won't be dissapointed. For the record, there are others regarded as A+ storywise which I have not played, those are: SW KOTOR 1, the Xenosaga trilogy, the Mass Effect trilogy

Smart/clever,humorous, and responsible

Best:

Metal Gear Solid 3 (it's likewatching a greatending for a great movie)

Kingdom Hearts 2 (the final confrontation and the ending in this game are a perfect way to finish BOTH kingdom hearts 1 and this, it really tied both games perfectly at the very end)

God of War (it was simple and short, yetit was the PERFECT ending for thisgame and anyone who plays it and beats it spoiler-free all the way willagree)

Good:

Final Fantasy X (great ending, but it really deserved to have X-2's good ending attached to it to take it from good to best; everything was great about it except the resolution for Tidus...... and if you think about it, the real ending for X is the one in X-2, so that even if the game is superb its ending is just good, but not "best" material)

Bad:

Jak and Daxter (this ending was very short and mediocre, it was like saying "hey get ready for Jak 2 we willleave this one here" luckily Jak 2 was a great sequel so I did not pay much attention to this ending)

Worst ending out of my 30 ps2 games:

Shadow of the Colossus (for real!!!I felt like I wanted to throw the game to the garbage after I watched that, I expected a superb and memorable ending because of all the good comments I heard from some friends and when I saw THAT I was completely dissapointed, I mean you go through all the frustrating battles just to see that at the end! BS!!!!)

Definitely try Shadow Hearts Covenant, it is the 2ndbest ps2 rpg after FFX in my opinion; it also has a turn by turn battle system, yet it is different (in a good way to make it more fun) because when your turn comes timing plays a major role in deciding whether you perform a 3 hit attack or a single attack (check out videos of battles in this game in this siteand you will see what I am talking about) so this is turn-based butitfeels like afast-paced turn-based system. The game can be challenging, but not hard at all, so any rpg fan can deal with it, and the story will keep you playing for sure.