Ballet: what are “ballet flats”?

Depending on her preferences, there are a few brands that are known for their quality and style. Bloch and Capezio are both renowned for their ballet flats. They offer a range of styles from traditional leather to more modern designs with elasticized edges for a snug fit.

Hmm... it's strange to me that she would leave the purchase of such an important piece of equipment down to someone who doesn't even know what she is asking for.

To answer your question, they are the shoes that she wears to perform in.

My advice would be to suddenly become obsessed with the shoes she currently wears...

Brand???
Size???
Colour???
Does she like them???
Are they comfortable to wear???

Really listen to what she says and let her answers guide you. That is how I make decisions when I'm not too sure about tools or other hobby equipment for men - and I'm generally just about spot on.

Shoes like these
I've got a few pairs in different colours including a black pair like these.

What colors does she tend to wear? How would you describe her aesthetic and fashion sense?

Give her a gift certificate.

I live in those.