[Not in any order] Some non-Taiwanese recommendations:
Ashes of love - historical cdrama (1000% tear-jerking unrequited love by the ML)
Abyss - modern kdrama (ML has unrequited love)
Begin again - modern cdrama (I think this was ML likes first)
Legend of fuyao - historical cdrama (1000% playful ML falling first and playing with her alot lol)
Lucky's first love - modern cdrama (Unrequited love and ML chases first)
My secret romance - modern light kdrama (100% ML falling 1st and chasing continuously)
Pinocchio - modern kdrama (ML falls first and I think he started chasing her first too)
Watashitachi wa Douka Shiteiru - modern jdrama (I think this vaguely fits your criteria too lol one of my most fav jdramas though!)