comics

I don't know about DC (I know Batman and Mr. Terrific exist, but that's about it; also Blue Beetle might be somewhat of an Iron Man expy, I think?), but when it comes to Marvel...

Peter Parker is a world class chemist and engineer. He created his web fluid and designed his web shooters, which definitely counts as using his brain to solve crime.

Tony Stark, world class engineer, designed and built the armours he uses to fight crime.

Reed Richards is one of the topmost scientists and engineers in the world in practically any field. Using his brain to solve / create problems is what the Fantastic Four do (fighting crime is incidental, really).

Hank Pym, aka Ant Man, aka Giant Man, aka Yellowjacket (on a bad day), is up there with Richards at the top, when he isn't suffering from mental illness or depression. He discovered the particles that bear his name and give him (and others) his powers, which he uses to fight crime.

Bruce Banner is almost up there, above them when it comes to nuclear physics. He uses his mind to... OK, fine, I'll give you this one, most of the time.

Hank McCoy, aka Beast, also top level engineer and general scientist. He designs and makes most of the tools (except the ones made by Forge, or by Kitty Pryde) the X-Men use to, uh... well, mostly try to defend themselves and other mutants from human racists trying to kill them, or humans from mutant racists trying to kill them, and sometimes to try and take over the world, I think..? I don't know, I haven't read the X-Men in a long time but it seems they've been drifting from light to dark grey this last decade; but, still, he uses his brain, is what matters. Fists and feet too, but also brain.

And those are the top ones that come to mind, but with the exception of Captain America that's basically core Marvel right there.