I looking for chinese taiwanese or hongkong drama where the main couple ( gay, straight, lesbian doesn't matter) start off as a couple or become a couple in the series or movie,

break up , which has to be somewhat an important element

then again patch up but after a timegap 

Le Coupe De Foudre is like this, but I haven’t watched it so I don’t know if it’s good or not (heard great things about it though)

Skate into Love: not exactly what you’re looking for because the characters knew each other when they were young but never got together (ml hated fl) but they later become a couple 

Autumn's Concerto (TW drama)

Fated to Love You (TW drama)

Don't Go Breaking My Heart 1 and 2 (Hong Kong movie)

-there's two movies, and you have to watch both to get the complete story

My Best Ex-Boyfriend (C-drama)

Remembering Lichuan (C-drama)

I'm currently watching The Love Equations and I heard that's exactly what happens