I picked this one because it is near and dear to my heart! Given the right tools and plenty of practice kids can learn to crochet. There are endless numbers of projects they can have fun with and continue to improve their skills. One of my favorite forms of crochet is called Amigurumi. It is basically making crocheted dolls. Kids can try their hand or hook on a Tiny Whale, Amigurumi Guy. Once they have gotten some practice they might want to try more advanced projects.
Above is a set of Star Wars characters I crocheted for a friend. There are other sites like Nerdigurumi where there are free patterns for lots of video game characters and such. You and your child can find oodles of free patterns online. Just make sure to review internet safety with them.