Gender: Male Location: home, playing Guilty Gear Xrd.
Hmm, does Batman have all of his gadgets from all of the games? Just from one of them? In either case, I'd say he'd win.
If it's just standard equipment (Cap with his shield, Batman with just his batarangs and batclaw), then it's much more even fight, though I'd probably give the physical edge to Cap due to his MCU feats.
Batman: Assault on Arkham (a.k.a. Suicide Squad the animated movie) had some pretty insane feats, and I believe counts as canon with the games continuity.
__________________ What CDTM believes;
Never let anyone else define you. Don't be a jerk just to be a jerk, but if you are expressing your true inner feelings and beliefs, or at least trying to express that inner child, and everyone gets pissed off about it, never NEVER apologize for it. Let them think what they want, let them define you in their narrow little minds while they suppress every last piece of them just to keep a friend that never liked them for themselves in the first place.