TVC: Excellent list and with some great comments, I find myself agreeing nearly exactly with your sentiments for each game, although I think my overall order is a bit different.
FF5 is my personal favorite, love the job system, the quick pace of the gameplay, the soundtrack
FF4 for nostalgia's sake, awesome soundtrack
FF6 for the characterization, the first half is easily the best FF story, awesome music, unforgettable scenes
FF7 was pretty fun, and my hype for the game was through the roof. Gameplay was disappointingly easy, I hated 3 character parties, translation was atrocious, but had its share of unforgettable moments as well
FFX had some sweet graphics and a really great and refined battle systme, nice music as well and was evenly paced until near the very end
FFIX was just much too slow, although I did really like the cast and appreciate the "taking it back to the oldskool" concept
FFXII had some nice ideas, fantastic music, and some of the best towns in the series, but the overall game felt like absolutely nothing was happening... from the story that never really progressed, to the large, uneventful fields with the shittiest loot ever, to the hands-off battle system which only really shines during some of the toughest optional bosses
FFVIII ugh... couldn't get over the awful storyline, the Junction system was way too much micromanagement for my tastes. Awesome setting though
FFX2 is another ughhhh... game was a total embarassment to play, hated the mission structure and all of the lame minigames I was forced to play, the Dark Knight class is totally broken, balance is entirely off (fight cakewalk monsters then battle an impossible boss), fucks with my OCD since it's so easy to miss one little sub event so you can't get a 100% clear
FFXI fuck this, I hate MMOs, game pretty much was the reason my brother didn't get into med school

I really liked FF3 (more so the original Famicom than the DS), challenging, some nifty dungeons, the first edition of the job system, some cool chiptunes. FF1 was my favorite game as a kid and I have a lot of nostalgia for it, FF1 on the FF Origins PSX collection is fun to dick around in, FF2 is the pits, levelup system broken as shit, even though the story/characterization was innovative for its time.