Keith is mine and his mortal enemy is Brant, my partner's. They're both super heroes and have managed to have beef both in and out of costume.
Most of their differences come from background. Keith being blunt but poor and Brant being sneaky and well off. They also don't care for how the other operates, Keith murdering in the name of "justice" and Brant leaving sentencing to the law. There's not much they can actually agree on. When they put aside their differences it's because one owes the other, not because they agree and not because they like each other. When they learn the other's secret identities it becomes more about the obligation of keeping their secrets. "He knows who I am... if I don't help him now, he might rat me out."
They do eventually develop into a romance but even then they are constantly at odds. Keith doesn't really understand romance but is willing to put in an effort. A lot of his gestures come off clunky. Wrong. Brant understands, but feels that showing affection is opening himself up to potential hurt. They both like/love each other... they just can't agree. Neither knows how to "take the L" but neither minds a good argument. They make it work.