Alright, here would be a good fight, two of anime's toughest girls facing off against each other.

Kirie Kojima of Girls Bravo

She's incredibly strong, usually uses martial arts and wrestling moves to inflict pain on those who give her problems, and she has a wicked temper.

Sango of Inuaysha

Once again, very tough girl, don't want to face her in the ring anytime soon.

Now, obviously, Sango is more experienced with melee combat, so she'd cream Kirie at that. What I'm getting at is hand to hand combat, no weapons, just fighting styles.

Now both Sango and Kirie have distinct fighting styles, Sango, with her kicks, punches and her defence, she has a karate thing going on, not to mention, as we all know, she's fast. Kirie on the other hand, relies on grapples, which become throws and slams, she also knees, kicks and punchs a lot too, she's a more down and dirty fighter(literally in some ways, for those who have watched Girls Bravo, you'll know what I mean). Sango has a cleaner more refined style basically.

All that I know about this fight, is that it would be amazing, and it would be nice to see human beings fighting each other that don't have any supernatural powers, or super charged chi. Just a normal fight.