Hang on to your hats, folks--we're about to get into some heavy semantics.
On the subject of Wiccan v.s. Witch and Craft v.s. Wicca in terms: technically, though you will often find people using the terms Witch and Wiccan interchangeably, Witch means simply "wise one" and is most often used for Pagans who practice magic but are not necessarily Wiccan, Craft or Witchcraft meaning the practice of a Witch's magic, Paganism can be any non-Tree of Abraham (Christianity, Islam, Judiasm being the Tree of Abraham religions) spirituality, and Wicca is a term for the Goddess religion (whose adherents are called Wiccans or The Wicca and sometimes Wicce) recently devised and/or publicized by Gerald Gardner, the first Witch to publish his Book of Shadows (magical book containing spells, recipes, rituals, and other magical topics) and the main force behind modern Paganism.
Gerald Gardner was a High Priest in a British coven who wrote a book, High Magic's Aid (a fictional book that contained some scenes that strongly resembled Wiccan practices), before the anti-Witchcraft laws were repealed, and several openly Pagan books after the laws were repealed. He is regarded as the founding father of modern Wicca, and was responsible for much of the Pagan religious revival.
The other man credited with a large portion of Wicca's current existence is Aleister Crowley, but frankly, I don't much care for the man or his teachings and I'm going to leave the task of talking about him to others.