Witches exist, but they tend to go by different names, nowadays
Wiccans, pagans, and shamans make up the practice called Wicca, or The Craft. Wicca is now an established religion in the United States with hundreds of thousands of followers. There are many facets to Wicca; some Wiccans/pagans/shamans choose the more natural path of just being in tune with nature, and others practice the more well-known witch-like rituals i.e. they have spells and samhain rituals.
Although, do not get Wiccans are not Witches. Wiccan is a religion; Witchcraft is a craft.
The word Wicca actually means wise. Paganism/Wicca, though not the stereotypical barbarous kind that Christianity has spread over the centuries, is one of the oldest religions. They believe in an unknowable and androgynous deity, and seek to balance themselves with the natural world. The overall maxim for Wiccans is pretty much you can do whatever you want, as long as it doesn't harm anyone else.
Wicca is not a savage or weird practice as many today seem to perceive it as. In fact, the leaders of Wicca and shamanism are renowned doctors that have been established as professionals in what they do. Wiccan's celebrate astrological figures like the moon, and certain Gods, their most celebrated god being the Goddess of the Moon. This is because luna is the closest figure to us.