Any cute anime not into fighting unless magical girl fight

[anaphyIaxis]

Clannad! Sailor Moon as well.  

[Purple-eyed Dreamer]

There are no words to describe the poetry of landscape
I can receive all the magic that my reason gives

Popotan! It was damn cute and I can't remember any fight scenes...

Tears of winter falling on me freezing my dark side
My heart must be wide fair full light eyes...

 

[sweetest lace]

princess tutu or whatever it's called
i saw the trailer for it, was pretty good
but i prefer something more like red garden or something with a good romance  

[Torio lll]

jigoku shoujo. not much fighting but the show is kinda.. uhhh.. "sad"

and sergeant keroro.a bit of fighting but its pretty funny.  

[Asastsuya]

I think Lucky Star is cute so far. I love the drawing style, it looks chibi to me. 3nodding  

[ChaosDice]

Princess Tutu and Sailor Moon. I love them both very much.

 

[Dark Fox Kirara]

Kaleido Star?
A snow fairy Sugar.
Nurse witch Kamugi  

[Tsuksumi]

Try Nanastuiro Drops, there is a little girl who has to collect 7 stardrops to turn one of her classmates back to normal , he turns into a lamb/goat stuffed toy at knight.