This is beginning to get a bit silly. On one side there is the PS3 supporters laughing it up in a most undesirable fashion. On the other there is the 360 apologists standing shoulder-to-shoulder, blithely ignoring anything that doesn't suit them. Then there are the sensible people inbetween, posting that the differences are clear, and that, for a change, the PS3 has a better version of a game, but being seen as fanboys of the PS3 for doing so.
People, just stop. The 360 version may be lesser, but it's still FFXIII, and those who buy it will enjoy it greatly regardless of its native resolution, its compression, how many disks it uses, or whatever. Sure, the PS3 version may be better, but they will never be comparing it side-by-side at home and are likely to be more than happy with what they have. Certainly better than not having the game at all, huh?
There are only two groups of people this situation truly influences:
1) Sad fanboys who like to scream at each other about largely irrelevant differences (you know who you are).
2) Multi-platform owners.
Group 1 could crawl under a stone and die for all I care. Group 2 have good reason to investigate this situation, and for them topics like this are very useful (so, contrary to some posts, there are many who care about the exact differences). As it stands, it seems obvious that multi-platform owners should buy the PS3 version without hesitation, and only wouldn't do so if:
1) They love Microsoft and the 360 so much they are willing to subject themselves to a lesser version of a game (and I bet there are quite a few of these, poor fanboys that they are).
2) They love Achievements so much they are willing to subject themselves to a lesser version of a game (and I bet there are quite a few of these as well, although more than a few will actually be from group A, but pretending to others or themselves they are group B).
That's about it, really. If you don't have a PS3 and a 360, be happy with what you have and stop with the negativity. If you do have both, then make your decision (assuming you are buying the game), and maybe post why you are buying one or the other (after all, my two reasons to buy the 360 version may be sadly lacking).