I'm looking for a drama which has the common cliche roles, reversed gender wise. 

Examples would be:

Strong Woman Do Bong Soon: female lead protects male lead, overpowers everyone, carries the male lead & so on.

Across the ocean to see you: female lead is male leads boss, a cold & tough woman, and male lead tries to win her affection

please rec Korean/Chinese/Taiwanese/Thai/Japanese dramas

https://mydramalist.com/20114-oh-my-general - Don't know if you'll like it, but it seems to be like what you're describing...

my ahjusshi / my mister  (this drama has the strongest female lead I have ever seen ...my favorite drama ever ♥)

myung wol the spy

witch's romance

protect the boss

wild romance

empress ki

su baek hyang the king's daughter

sweet sweet bodyguard

city hunter

7th grade civil servant

secret garden

king 2 hearts

my fair lady

You could try On the wings of love

its kinda long and role reversal isn't exactly the theme here. but the girl is more logical , calm and quick thinker. and the gur is emotional and somewhat a crybaby and messed up  a lot