turned Steve Rogers into Captain America pushed him to the peak of human capability, or potentially just beyond regular human capacities, depending on the writer. Batman is the world’s greatest detective, possessing a fierce intelligence that also translates into extraordinary strategic and tactical capabilities. Captain America, however, was created during World War II, giving him hands-on experience in battlefield strategies and the incredible ability to improvise. Batman’s utility belt is full of tricks and gadgets, but Captain America’s heightened senses and Vibranium shield would provide a strong counter.
The fact that these two characters belong to different publishing companies means there has rarely been an opportunity for them to face off. Rarely, but not never.