Let's pretend that Marvel creates it's own JLA instead of Avengers and it's core members face their counterparts from DC:
Hal Jordan VS Quasar (as shown in The Annihilators)
Wonder Woman Ms. Marvel as Binary
Flash (Barry) Ice man (since there is no speedster in Marvel on Flash's level I picked up Bobby)
Both teams are on the same level of teamwork. (DC JL has no edge here as the fight would be less fair otherwise). All in character.