For Snowflake Star, you have to play 5 times, and for Super Snowflake Star, you have to play 25 times, and for Flitterific Snowflake Star, you have to play 100 times.
I wondered, What counts as a "time"? Do you have to get to a certain level, or a certain number of points?
I tried different things today, and I narrowed it down. You have to get over 300 points (not an exact number, but close). It doesn't matter if you get that in one level or five levels. Also, over 300 points is what you need to get an ingredient prize.
I hope this helps fairies get their Snowflake Star badges faster.
Stormy Lightningberry