Some of the ones named above do have their emotional and depressing moments so let me just drop this if you want a good taste of reality and feel-good dramas from my experience:
Because This Is My First Life - i think this absolutely perfect for what you are looking for
Reply Series (i've only watched 1997 and 1988) - this does contradict what i say a bit about emotional moments however this one has heartwarming emotional scenes and not so depressing and dramatic falls of the main/supportive roles
Weightlifting Fairy Kim Bok Joo
Fight My Way
Last 2 are very cheesy and romantic like you asked for hahahah, but bare in mind i dont watch a lot of cheesy and romantic dramas as i tend to enjoy more thriller/detective/historical and very depressing dramas.
But make sure you give these a go and if you don't feel so-good anymore then ask me cos i have a load of dramas which will make your toilet rolls and tissue box all gone from your house.