The Legends   (2019 chinese drama)

- guy crazy in love for years, jealous and protective

- strong female lead but clueless when it comes to true love

- there is a second (and even third) male lead who has great chemistry with FL, but it's clear from the beginning he has no chance with her, instead he provides a reason for jealousy

Chijo no Kiss 

I just finished watching, and I think it matches your description pretty well 

I've created a list of my own on this topic: https://mydramalist.com/list/47ay78AL
Hope it would be helpful. 

Time to fall in love

https://mydramalist.com/697853-love-from-zero-to-one: Link to fall in love (2022)

Love is sweet

 fanitha:
  • Sekai ichi muzukashii koi
  • Well intended love
  • High end crush
  • Secret Garden
  • The greatest love
  • Pin to Kona
  • Hana yori Dango
  • Takane no Hana
  • When the Camellia blooms

Taking no Hana so their are 2 drama with this title one is in2018 and other in 2019.. which is the correct one

 Gauri:

Taking no Hana so their are 2 drama with this title one is in2018 and other in 2019.. which is the correct one

There's just one the other is "Takane TO Hana". The on I suggested is Takane NO Hana 

https://mydramalist.com/29285-takane-no-hana

Please guys recommend more dramas

Some more dramas where the ML chases first and for a long time and is a little crazy about it: