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Hagrid: While riding on the bus (or is it train) with Harry in Book 1, Hagrid begins to knit.
Mrs. Weasley: Her sweater’s are the bane of Ron’s Christmas experience.
Hermione: She used magic to make knitting needles knit scarves and hats for house elves. No mention of her knitting by hand.
Dobby: The free house elf uses his new income to purchase wool and knit Harry Potter socks with a Quidditch theme.
Dumbledore: Although no mention is made of him actually knitting, he requests a magazine from Slughorn because he loves knitting patterns.
Sadly, no mention is made of any character crocheting. Perhaps, this is another fantastic thing wizards have overlooked- like cell phones and the google search.