Batman (DCEU) vs Captain America (MCU)

[Steel Inquisitor]

Both get standard equipment, so no anti-Superman armor for Batman.

[The Arbiter]

With his most basic equipment, Batman cant do more then make Cap sweat. He cant one shot him or anything, but the outcome of the fight is clear. Cap catches him a few times and puts him down.

With his Justice League suit (final battle) it's much closer. He was durable enough to straight walk through parademon laser bolts with only a grunt. He has the tools to make it interesting and with the greater durability, Cap has to play it safe and pick his moments. I still think Cap wins the majority, but it's a harder fight.