Meh. Quibbling over the literal meaning of "super" in "superhero" isn't very useful, I think. That's simply not how the term is commonly used nowadays. And it breaks down anyway.
What about Iron Man? He can fly, and has lots of "powers" - but those come from the suit, not him. How is that more super than a fighter pilot or tank commander? Well, in the case of Tony Stark, he also invented and built the suit. Fine. So his "super power", to the extent he has one, is being a really great inventor. Is he a superhero?
(Batman has the Batplane and other tech, which he supposedly designed or helped design. But that's not really what makes Batman Batman.)
What about Green Lantern? He's just a guy with really strong will and no fear. (Or rather, the ability to conquer his fears.) But then a dying alien gave him a magic (superscience) ring, and he became "super". But he has no super abilities of his own. Is he a superhero?
The full SFX list can be found
here. Follow links at the bottom for 11-50. You can find quite a few heroes with no "super" powers at all, and a few more that are arguable. But that doesn't really matter. If a character routinely hangs out with and defeat people with "super" powers, that character is also "super". Like Batman, Green Arrow, Hawkeye, and more. The fact that they have no "powers" of their own just makes them more badass.
One could also quibble about "hero" vs. "heroine". But that's lame.
More interestingly, one could quibble about the "hero" part, as that definition has become rather... flexible. Punisher? Emma Frost? Elektra? No. Though one could argue that many Greek "heroes" were hardly paragons of virtue. Originally heroes were, well, demigods. Super! So maybe things have just come full circle.