so basically here they have broken up in the past or divorced and now years later they meet again and try a second chance at their relationship

here are some:

autumn's concerto

cunning single lady

save the last dance for me

our beloved summer

what comes after love

come and hug me (they liked each other as kids and then meet again when they're older, it is a heavy drama though, it isn't really a break up though)

go back couple 

fated to love you (2014)