batman with surfer's powers vs batman with superman's powers
just as the title states, batman is faced by his complete mirror image in skill, knowledge, and experience (assume he knows everything about the surfer) just empowered by the silver surfer's power against his superman powers.
only stipulations are that batman's mind(s) are in full control of said power sets and none of the minds of the aforementioned characters, so willpower feats belonging to either kal-el or norrin radd are inapplicable to bruce wayne, but wayne's willpower feats (and such) are good to go.
the second and more important is that neither are in their native universes' (but their powers work normally). this is to prevent someone claiming either of them can go and grab the ultimate nullifier or phantom zone projector mid fight at lightspeed.
they start the fight in an abandoned manhattan (neutral universe) and the fight can spill out anywhere within that universe.