To go along with the drunkeness Radioboy brought up. PCP gives the user something nigh a level of "super strength". I've seen other cases, but awhile ago in my dinky little college town, one of the frat boys took a dose, and got out of control. They called down the cops and college security. It took 4 or 5 guys to subdue him and cuff him. He then proceeded to break the cuffs (and in the process break both his wrists, but he was so wasted he didn't notice) and give the cops more trouble. The ended up having to stun him into unconsciousness, which took awhile.
They've done studies on "photographic memory" and have determined that it's not photographic so much, as people just have an innate talent or trick to memorize, they did studies in which they were able to mess it up, proving it's not a fool proof "power" though it is hella neat.
There have been cases about ESP, telekinesis, psychokinesis and more. If you want to believe these things, that's up to you.
Though treading the line between science and religion, one must consider Jesus. Perhaps he had a divine touch or heritage. Perhaps something like the tale Gilgamesh happened, and he was the son of not so much a god, but an alien pretending to be one, who through breeding with a human unlocked genetic potentials. Who knows? I sure don't, but just possibilities.