I think that's why he was asking :P It's pretty rare to see a normal fight in anime because the universes are vastly different. Even for Slice-of-life shows, one of the most "realistic" genre in anime, a normal fight is hard to find. Your examples are pretty spot-on to what OP was asking. And I think "normal fight" is the best description for this; I can't think of any other way to describe it.
I don't really consider any of the fights I've cited as "normal".I've never heard of a single fight lasting for like hours on end...
I mean if you google it but then again, this in itself isn't normal either,lol.
And I mean fighting over a guy who is your brother with another unrelated female?
I've never seen females fight like Kirino or manami, it's usually different, in every fight I've seen it's them using weapons,lol.
Maybe this one: https://www.youtube.com/watch?v=Q-LRLOjTh5o
Though trevor wasn't serious,lol.
I've never seen a bar fight or seen someone get jumped before.