They are very different games, one is light hearted fast paced, while the other is more serious slower pacing. Haven't quite finished The Last of Us, but so far I prefer it's campaign over Uncharted.
Which game do you get longer playtime out of? TBD
Which game has better multiplayer? TBD
Which game has better graphics? Toss up IMO
Which game has better story? The Last of Us
Which game has better characters? Tie