Do you know any Korean drama where the female lead is tomboy, and hot-tempered while the male lead she will interact is equal to her in character if not even worse? They may be in a gang or not related at all. 

Thannks in advance <3

It's still currently airing but try Lawless Lawyer

I browsed through my watched list but didn't really find any series with your description - except that I second neo's recommendation. But instead, here's some movies with strong female leads:

A Special Lady

Assassination

The Villainess

The Handmaiden

I third Lawless Lawyer.

Maybe try Iris. The FL and ML are both spies or something like that. The FL is the Team Leader and I think she has as higher ranking than the ML. I haven't watched it myself but it's high on my to watch list. Apparently, it was so well-received, they made a spinoff movie and a second spinoff series. 

Thank you all... I just started Lawless Lawyer and it didn't disappoint me :)

If you like romcoms, I can suggest:

 Marry me, or not? 

Couple or trouble

My Girl

Me too, flower! (at least the first half, I've laughed very hard XD)