There are some similarities (and whenever anyone's pairing up the Avengers and JLA big threes into fights, they get put together since they'd get creamed going up against any of the others, and their skill sets are most comparable), though you can draw compelling comparisons between Cap and both Superman and Wonder Woman too. Likewise, Iron Man and Batman can be compared as well.
Over on CBR one time, when discussing potential future DC/Marvel crossovers, Mike Perkins popped in and said that one he'd love to see would be New Cap/Nightwing (he nominated himself to draw it).