Tropes again: "Badass Normal"

gramarye1971 suggested the "Badass Normal" trope, where an unenhanced character holds their own against superpowered or supernatural competition.

This is another trope that I really don't think about as a thing in itself, but I definitely have a number of canons where it features!

( Discussion and canon recs below the cut )

Since I'm not accustomed to thinking about this trope as a distinct thing, I'm very interested in hearing your thoughts and recs. What characters do you consider prime examples? Where do you draw the line for "normal," especially for characters who have long-running arcs that lead to significant increases in power/skill?