Here Kingpin shows his asility and jumps from a chopper to the Statue of Liberty. Notice how when KP comes through the opening, he bent/broke the metal that was inbetween the spaces to fit. It was intact when he first got to it.
Even though this is a pretty old thread I thought I'd contribute something that had been mentioned but not posted. In Daredevil: Born Again, Matt Murdock goes to exact revenge on Fisk for effectively taking his life away. Despite the fact that Murdock was evidently not in his right mind at the time of the fight, it is still a good showing for the Kingpin. He withstands some vicious blows from Matt, and then takes him out.
With KP it's about eras. Technically, all of his feats are in continuity, but he's currently written FAR below the power levels that he used to have. There's no clear distinction between current KP and "classic" KP, but it happened some time in the late 80's or early 90's, when writers stopped writing him as a brawler and made him more of a schemer.
So currently, no, he's nowhere near superhuman. Peak human, perhaps. But he's just a buff crime boss. Classic Kingpin, however, was indeed both peak human and beyond. Physically overpowering Spider-Man in any era is at least a Class 10 feat.
Detractors like to say that Spidey didn't have defined strength levels in his early years, but he had feats that could be considered not just Cl. 10 but Class 50+ as early as ASM #33, well before KP's first appearance, so that excuse is a poor one, and also doesn't account for Fisk handing Cap, DD, Punisher, etc. etc. their asses as well, and things like bending steel.
So he's not a mutant. He's just a freakishly powerful human. Doesn't make sense? Welcome to comics. But that's only for classic KP. Current KP would get whupped by any high or mid street-leveler, most likely.
If I had a scanner that worked I'd scan his new handbook bio. It says he has peak human strength. It also says that the reason he was able to hang with Spiderman was because Spidey always held back when taking on non superpowred beings for fear of taking a human life and the fact that Kingpin used his skills and agility also.
"I am not afraid of the dark the dark's afraid of me"