Console doesn't run at 60 frames, it looks smoother because thats what its designed to run at. You see the tearing because the pc game is running at more than 60 frames and the tv can only show 60 per second. Turn vsync on.
I've tried both V-Sync on and tested with 30FPS and 60FPS. As a result, animation is less fluid and introduces more input lag.
But still, maybe that's just the way console games are meant to be played with fluid animation, even though some games are capped at 30FPS while some games are capped at 60FPS.