I figured we should take this off Pika's comments.
I actually am Taiwanese, born and...well, partly bred.... DUN DUN DUNNNNNNNN.
Well, if you look at Asian myths, there are less examples of mystical creatures stealing children. There are virtually no goblins, so I'm inclined to view them as a purely Western concept, originating largely in Northern Europe. However, there is a large tradition of half-animal, half-human creatures that eat children. Much of this might a result of the geographical differences in Asia and Northern Europe as well as cultural differences. Being more acquainted with China and Chinese legends, I'm basing most of these hypotheses on China, of course. Also we have to take into consideration that China has warmer climates and milder winters, with its population more heavily concentrated in the southern half. It's harder to imagine Winter as its own minor deity, even though elemental forces such as Thunder and Lightning have concrete forms.
It also bears nothing that Chinese myth/belief is a hodge podge of local beliefs, ancestor worship, deification of spirits, and Buddhism. Also a point of interest is the lack of magic in Chinese superstition. Actually, this is a gross overstatement. But have you noticed that Asian conceptions of magic is inherently different from Western magic? It's much more... spiritual and tied in with the flow of energy than an ability to twist reality.
Also I want to point out that the Snow Queen is a Hans Christian Andersen story. I love how his stories have been accepted as fairy tales on the same level as the Brothers Grimm's, but they're really not the same thing at all. The Brothers Grimm went around collecting folk tales, many of which had magical elements. Hans Christian Andersen made up his own stories, even though he borrowed heavily from local folk legends.
As for the parallelism between the Snow Queen and Jareth, well, it's purely subjective, I think. The beauty of fairy tales is the ability of the reader to project their own understanding and identity onto them. At first, I saw the similarity between their roles -- a stolen child, hidden in a faraway castle, and the heroine must travel through dangers unknown and hardship unnumbered to reach the castle. So I should say that I saw the similarities between Gerda and Sarah first. Then the stories began to merge together. The Snow Queen and Jareth would be two rather unwilling villains, acting not so much out of malice than ammorality (not to be confused with immorality) and their very natures. It is the Snow Queen's nature to be cold and unfeeling, and the Goblin King's obligation to steal children, any child. At the end of the story, Kai is able to leave when he manages to spell out the right word in the ice puzzle, and Sarah defeats Jareth with her right words.
Okay, I'm going to stop here, because I'm becoming increasingly incoherent, I think.
PS. I love your masks!