Mascots:Xbox has Halo, Nintendo has Mario,Zelda, and Sony has...GT??

[Final-Fan]

The fact that we're on Page 2 of this thread without a clear consensus emerging proves that the correct answer is "none".

At first, Sony tried to put Crash into the mascot position, but when that franchise faltered they never so much as tried to replace him as far as I can tell. Instead, they have the PlayStation brand in general, as KGB29 said, with an "elite" group of games sort of defining the brand; this group is always evolving, adding and dropping names, so it's not mascot material. GT, FF, GTA ... now maybe Resistance and KillZone among other possibilities. This is a big reason why losing FF exclusivity is such a blow to the PS3.

Sackboy would make a good mascot but I doubt it will happen. Only the craziest optimistic predictions -- if even those -- have LBP getting the kind of supermassive sales required to put it in the public consciousness like that in this generation. Even if Kratos had the awareness (which I seriously doubt since all his games combined have sold less than Halo 1), as others have noted he's not exactly family-friendly. SPARTAN 117 isn't really, either, but he doesn't seem as barbaric so I think people let it slide more. And Gran Turismo has no face.

(Perhaps part of the reason why Sony didn't develop a mascot after Crash was because:  (A) they don't have as much in the way of first-party stuff; (B) GT doesn't have a face; (C) the PS1 and PS2 were both massively popular so there was a lot of competition for "iconic game" status -- perhaps too hard for a game to pull ahead enough to become a mascot. (A) and (B) didn't apply to Nintendo or Sega, and (C) didn't apply to Microsoft. [edit:  with the exception of Halo -- and I consider the Xbox a special case -- it seems to me that most consoles which have developed mascots had the game in question as a pack-in.])