I've drawn a great deal of inspiration from the idea of the Snow Queen. Several years back now I did my own version of the Snow Queen or Ice Queen. I've done numerous small paintings and sketches of her, but this is the only image I have saved of one of them.
Edmund Dulac is one of my very favorite illustrators, and he does a lovely version of a snow maiden that I find simply enchanting. If I could get away with it, I'd dress like that every day.
Edmund Dulac, Ice Maiden, 1915, http://www.artsycraftsy.com/dulac/dreamer_of_dreams_p.jpg
Dulac also illustrated Anderson's The Snow Queen, and I haven't found any illustrations of that story to surpass his.
Edmund Dulac, The Snow Queen Flies Through the Winter's Night, http://www.artsycraftsy.com/dulac/dulac_snowqueen_streets.jpg
Edmund Dulac, The Snow Queen On the Throne of Ice,
http://www.artsycraftsy.com/dulac/dulac_snowqueen.jpg
We mustn' forget the North Wind though. Without him, the Snow Queen wouldn't have anyone to pull her sleigh. Kay Nielsen, another favorite of mine, has done an excellent portrayal of him.
Kay Nielsen, The North Wind Went Over the Sea,
http://www.flickr.com/photos/irmavepisalive/4107090518/
Nielsen also did a lovely piece of Sleeping Beauty in the snow. This dainty little painting is so sensitively rendered.
Kay Nielsen, Study for Sleeping Beauty
Nielsen also did this wonderful illustration for the book East of the Sun, West of the Moon. If polar bears were docile creatures, I wouldn't mind having one for a stead myself.
Though no-one can top Nielsen, Amanda Clark comes close and has done a lovely version of this same story herself. You should check out her enchanting blog, http://earthangelsart.blogspot.com/, and her Etsy shop full of covetable prints of her incredible art, http://www.etsy.com/shop/earthangelsarts.
Amanda Clark, East of the Sun, West of the Moon,
http://images.fineartamerica.com/images-medium-large/east-of-the-sun-west-of-the-moon-amanda-clark.jpg
There are so many more beautiful versions of ladies in the snow, but that's all for now! Happy New Year!