Wicca

Wicca, like any other religion, has its unique sects and divisions. Isaac Bonewits, as quoted in Drawing Down the Moon, identified those divisions as being ethnic, classical, gothic, familial, immigrant, feminist and simply neo-pagan. Lines between even these most basic of divisions can blur; ethnic and classical witches can come from a hereditary tradition and still add individualized elements to their practice.
Some traditions of Wicca are shamanic; others are completely ritual based. Individual Wiccans may choose never to cast a spell. However there are even those change from tradition to tradition. This is a rough list of the garden of Wiccans existing in the universe. Most of the names were taken from "Drawing down the Moon "," To Ride a Silver Broomstick and "The Complete Book of Witchcraft" (commonly known as "Uncle Bucky's Blue Book").

Gardnerian
The so-called original tradition, evolved from Gerald Gardner in the late 1950s. Gardner claimed he had "discovered" the still existent witch tradition of Britain; although much of the accuracy of his work is still questioned, Doreen Valiente did at least manage to prove the existence of his initiator, Dorothy Clutterbuck. Whether or not she initiated him into a tradition harking back centuries no one can prove. However, Gardner did indeed create a tradition that is quite alive in the twentieth century, going into the twenty-first.

American Celtic Wicca
A tradition coming from the days of Lady Sheba, the original "American Witch Queen". Practices are similar to Gardnerian ritual. It is believed that Lady Sheba in fact stole and cheerfully plagiarized Gardner's Book Of Shadows. Alternately, there is a 1734 tradition that describes itself as the American Celtic Church the tradition itself is reported to be quite powerful, although its academic sources are questionable. I'm not sure, but I think that they are the same tradition. Someone, please correct me if I'm wrong!

Alexandrian
Alex Sanders tried to gain admittance into more than one Gardnerian coven and all denied him, so he formed his own tradition. According to comments in "A Witch's Bible" by Janet and Stewart Farrar, Sanders was a showman of sorts who had his own ideas about how to manage a hierarchy -- sometimes a frustrating habit. At the same time, he made Wicca much more accessible to the public, initiating many well known pagans and hiving off multiple successful covens. His style was similar to Gardnerian tradition with the hierarchical divisions but it was apparently easier to gain access to an Alexandrian coven. (I don't know this for a fact; feel free to verify or correct me).

Australian Wicca
Australia has just about every version of Craft in healthy existence; the only significant difference is that Australians celebrate the Sabbats in opposite order from those in the Northern hemisphere, in keeping with their own seasons

British Traditional Witch
These people mix Celtic and Gardnerian beliefs; many have come from studying with the Farrars or studies based on the Farrars and follow the hierarchical structure generated by Gardner. I'm under the impression that an individual must actually be British to practice this tradition.

I have received information also that British Traditional Witchcraft is

1. An absolute misnomer, it's just witchcraft
2. It has nothing to do with Celticism or with Wicca. Instead it is a pattern of traditional behavior, usually as learned from family tradition much as people pass down names or light Yule trees at a certain time.

Celtic Wicca
Essentially, this tradition uses Gardnerian ritual and applies only Celtic/Druidic deities.

Dianic Tradition
A tradition that either worships only the Goddess or female deity forms or relegates the Horned God to a consort of the Goddess with little focus on male/female polarity

Eclectic Witch
The more common Witch in the United States; usually a solitary practice by an individual who draws elements from multiple traditions.

Faery Wicca
A tradition of Wicca including entirely gay males; somewhat the counterpart to the Dianic tradition

Fairy Wicca
a tradition based on old Celtic belief systems, particularly the deification of the Tuatha De Danaan and the belief that the fae and the Tuatha are one and the same

Frosts Wicca
Based on Welsh tradition and sometimes dollar signs. Gavin and Yvonne Frost offer a correspondence school in Wicca.

Georgian Wicca
A tradition formed by George E. Patterson; an eclectic tradition acknowledging God/Goddess polarity but favoring the Goddess

Hereditary Witch
A witch who either is initiated as part of a biological family tradition or practices a tradition that only claims you if you are initiated according to an assigned "family link"

Kitchen Witch
someone who practices magickal earth religion, likely but not always Wicca, but incorporating it into daily home life.

Pecti-Wicca
A Scottish solitary tradition passed on by an individual mentor

Seax-Wicca
A tradition founded by Raymond Buckland, based on Saxon tradition.

Solitary Witch
A witch of any tradition or non-tradition who practices alone for a broad variety of reasons

Teutonic Witchcraft
A tradition based on Germanic culture; can come from English, Dutch, Icelandic, Danish, Norwegian and Swedish traditions. Also known as the Nordic tradition; sometimes separated into a different part of neo-paganism far different from Wicca.