I would like to watch a drama where the Male Lead and Female Lead start on a wrong foot. Slowly Male Lead falls for the Female Lead. He gets jealous when she talks with any male friend, her crush or the person who has crush on her. He shows his jealousy in a mean and childish manner. Female Lead takes a long time to fall for the Male Lead.  I would want a drama which is not famous in the genre because almost all famous dramas I have watched.  And I want to watch a strong female lead. 

Nothing gold can stay . Has a strong female lead. mL and fl start off wrong and he shows jealousy in a mean way. Love this drama 

The classic drama for this prompt is Boys Before Flowers or Meteor Garden.. LOL

I think Sh**ting Stars  or What's Wrong with Secretary Kim can be included in this category..

Love is sweet 

Hello Mr Gu

Time to fall in love 

Business Proposal 

Nothing but you 

Lobe lost not forgotten 

Missing you 

I have a list for dramas where the ML falls first and the FL takes her time falling in love. I've noted where the male leads are particularly jealous/petty/clingy/possessive for the ones I've seen. 

The list: https://mydramalist.com/list/389Kj7D4

Hope it helps!