I've been really in the mood to watch something cute. I don't care what country it's from, but the relationship has to be really sweet and cute. Something like Playful Kiss, I watched it recently and it was so cute and I've been craving cute ever since. (P.S. not Boys Over Flowers, I couldn't finish it) I'd prefer if it was a romantic comedy, but if it gets a bit serious I don't mind. I don't mind if it's a melodrama either, as long as the couple is adorable. 

I've seen:

Playful Kiss (and Mischievous Kiss)
Healer
Just You
Pinocchio
Full House (Thai and Korean)
City Hunter
Down With Love
Gu Family Book
Hana Kimi
Heartstrings
You're All Surrounded
It's Okay, That's Love
Oh My Ghost
Reply 1997
Sassy Go Go
Secret Garden
Shining Inheritance
The Girl Who Sees Smells
The Master's Sun
The Heirs
To The Beautiful You
You Who Came From the Stars
Bromance
Flower Boy Next Door
Queen In Hyun's Man

TLDR; please recommend some super cute dramas~ I'd really appreciate it, thank you!

Oh My Venus has some veeeery cute moments! It's still airing but it will be finished in a few days!
Boss and Me
Say That You Love Me
Hana Kimi Taiwan
The Girl Who Sees Scents
You're Beautiful
Hana Yori Dango
birth of a beauty 
falling for innocence 
high school love on 
Splash Splash love (drama special but so worth watching)
Boys over flowers, Protect the boss
I second Splash Splash LOVE -- it's sooo cute and adorable. It's only 2 episodes, so a pretty easy watch. I thought it was really well done. A must watch!

I also recommend My Girlfriend is a Gumiho -- Shin Min Ah is like the definition of cute in that drama. 

I Hear Your Voice -- it has some serious moments, but it's a noona romance and Lee Jong Suk is absolutely head over heels for her (and they're pretty cute to watch). 

The Greatest Love - both main characters are really funny and cute in this.
Thanks for the recommendations, I'll check them out!
Splash Splash Love - so cute

Marriage, Not Dating -  This was one of those dramas I wanted to re-watch immediately after I finished it.

I was just thinking earlier today, that I needed to ask for the same kind of recommendation, and then I noticed this thread.

Anyway I second:
The Girl Who Sees Scents
You're Beautiful
Marriage, Not Dating
My Girlfriend is a Gumiho
Boss and Me

Also: 
Fated to Love You (I've only seen the Korean version, though from the sounds of it, I think that one is probably the better version anyway.)
Emergency Couple
Ex-Girlfriend Club
Murphy's Law of Love
Classics that you MUST watch: Coffee Prince & My Lovely Sam Soon

Other favorite cute couple dramas in no particular order:
Rooftop Prince
Kill Me Heal Me
My Girlfriend Is A Gumiho
Marriage, Not Dating
Answer Me 1997
Answer Me 1994
The Greatest Love
Personal Taste
What's Up Fox?
Protect The Boss
I Hear Your Voice
Emergency Couple
Ex-Girlfriend Club

Thanks so much! I think I'm either going to watch My Girlfriend is a Gumiho, Marriage Not Dating, or Protect the Boss next!
Is Boss and Me really good? I hear a lot about it, but I'm worried about how long it is.
@Dani - I've watched the  first 11 episodes of Boss & Me. I like it so far--I don't think it'll get into my top-top favorites, but it's good. :)

If you're looking for something super sweet and cute--that drama has it in spades. It's just one cutesy moment after the next. I'm 11 episodes in and I haven't hit any truly angsty moments. 

The main girl is super sweet, and he's super sweet to her. 
Oh My Ghost (korean drama)
Splash Splash Love (korean drama) 
Marriage Not Dating (Korean Drama)
Warm and Cozy (korean drama)
@ViolinGal Super sweet without too much ridiculous angsty moments is what I'm looking for, thank you!