Please recommend me some good tv shows that have a good storyline with music like Dream high and Shut up: flower boy band. 

I don't find any that seem to peek my interest, please help me.

Page Turner (excellent short drama! no romance though)

You're Beautiful*

Heartstrings*

Monstar*

The Liar and His Lover* (kdrama)

* I didn't really enjoy these dramas as much

Totoro covered all the ones I've completed. I dropped The Best Hit / Hit the Top, but I think there's a good amount of singing and romance in that one and it's got a pretty good rating. 

Nodame Cantabile

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