Note: The youngest's preK class enjoyed it all last week -- first through reading and then through a hands-on coloring / sequencing activity, which you can download and print too. Have your children color, cut, then reinact the story by stuffing their own mitten full of forest animals from these pages on Jan Brett's website: http://janbrett.com/put_the_animals_in_the_mitten.htm
You also can't go wrong with The Mitten An Old Ukrainian Folktale retold by Alvin Tresselt and illustrated by Yaroslava (c. 1964). Yaroslava's simple yet vibrant illustrations feel "old world" and lend a sort of different sort of credibility to the tale.
Either way, readers, I'd love to hear your preference! Which story do your kids like best?