I really liked the atmosphere on Kimi ni Todoke (anime)
- Nothing melodramatic nor full on comedy
- I prefer simple female protagonist
- I love the hints of funny / funny cute moments
**Don't mind my MDL list**
Here are two that I've labeled "Cute" & "Sweet" dramas that might fit what you're looking for:

Go Ho's Starry Night
http://mydramalist.com/16921-go-hos-starry-night

Shopping King Louis
http://mydramalist.com/19012-shopping-king-louis
+100000 to Shopping King Louis
Koe Koi
I love Kimi Ni Todoke...was definitely cute! ^-^

Movies with cute romance:

Bangkok Traffic Love Story
Close Range Love
Hear Me
Orange
Oto-na-ri
Summer, Whispers
Virgin Snow


Dramas with cute romance:

Asuko March!
Buzzer Beat
Kingyo Club

I hope you like what I recommended! :)
Something About 1% (2016) is literally perfection. I've never seen such an amazing, light, cute, romantic, non-dramatic, no-BS drama. You won't regret it!
If you want really light....

Heartstrings

Somewhat light...little bit of drama...

Protect the Boss

The Greatest Love

Tomorrow's Cantabile

Modern Farmer

To the Beautiful You
Thanks!! Hope to hear movie recommendations too, since I'm mostly busy :~)