Gia:
I am with you. If the story is not gripping, I dont want to watch it.
Here are the ones that fit your requirements and I believe are worth your time:
Healer
My mister
The bridal mask - this was a total surprise! I'm on eps 24 and it is amazing. The first few eps were a little slow , but after the main character becomes the bridal mask it was non stop action with a great story.
Happy watching...
It seems Healer was recommended by several people here. I will definitely check it out.
Regarding Bridal Mask, i did try it for few episodes, i couldn't get into it. I will probably have to return to it, if you say that it becomes really fantastic.
Thanks a lot everyone!