Hello! I'm looking something new to watch.

What I like: 

Melodrama/tearjerker 

Romance

Mystery

Funny moments

Good chemistry 

Good/interesting story lines

I do like cliches but please no noona romances. Prefer any Asian drama but with english subs, please.

Thanks

So basically every k-drama? :P

I'll rec Mask, since it has the best first episode of any drama imo.
I'll recommend some jdramas :)

Rich Man Poor Woman
Dear Sister
N No Tame Ni
Shitsuren Chocolatier 
editBiblia Koshodou no Jiken Techou
From 5 to 9
Last Cinderella
ON
Priceless
I recommend: Kill Me, Heal Me

It fits all the "likes" you've listed. :)