@blackestnight93: He can casually snap necks with nothing but a twist of his wrist and can launch people dozens of metres with his throws. When you get to the Feast For Crows (Or whatever it's called Vigor,) there is a door barring you from the wielder of the Vigor. As you try to open it, there is a thick (And I mean very thick) chain securing the door shut in order to stop people getting to the person using the Vigor. And how does Booker deal with this safety precaution? He literally just pushes the door forward and the chain completely snaps. (As is shown when you look afterwards.) He doesn't even have to exert himself. And to further prove author intention, he easily reaches the top of a test-your-might carnival strength test.
There is also a bit where he beats half a dozen Police officers in melee, and he takes on a gun wielder without any weapons which either makes him a very good aim dodger or a stealth expert. (I'd pick the former since stealth isn't actually an option when playing.) And Bucking Bronco was said by the seller to easily be capable of lifting over a ton, so that would be useful against a Big Daddy as well.