What is an action adventure game? What is an action game? A game with action? A puzzle game has action. In tetris, you have to think on your feet or the grid will start to fill up. If you don't have risk or reward, you're not playing a game. What's an adventure game? Again, adventure is defined as activity that is risky, dangerous, or exciting. Video gaming is by definition adventurous, but even then almost any game could be called an adventure game. Action and Adventure aren't genres. They are things that we say that games "feel" like, and when you can't seem to pinpoint a game's genre to everyone's satisfaction you just cop out and call it action adventure. Alot of people say that Zelda feels like an RPG too, but that's just not how taxonomy works.
You navigate a series of platforms in Zelda games, and you frequently use Jump and the Hookshot. That's enough for me to say that the game has Platforming elements to it, the question is does it break the Platforming mold in any way? It has a combat system where you attack people with swords and other things so is it a hack and slash? Well, almost every platformer has some sort of combat system that didn't involve jumping on enemies since the 64. Ratchet and Clank certainly steps into third person territory, but I don't believe Zelda has yet to break the mold (though I really want that to be the next step in the Zelda games, a more advanced combat system). People try to justify their calling it an RPG by saying that you collect things, but as I said before collecting things is practically a requirement of platformers these days. At the end of the day, Zelda is so much more than a platformer, it's so much more than a game. But as a stickler for taxonomy, it's a platformer through and through.
And I really don't understand what you're trying to say with Uncharted 2, unless you haven't played many real platformers. Uncharted 2 is a real platformer, I'd recommend Shadow of the Colossus or Sands of Time over it, but neither of those are PS3 games.