Hinduism
Hinduism was one of the major Eastern religions on Earth. Its adherents were called Hindus. (PROSE: Doctor Who and the Crusaders) They believed in reincarnation. (TV: Rendition)
Hindu religious teachers were called swamis. (AUDIO: The Case of the Gluttonous Guru, Hounded, PROSE: The Death of Art)
Navrati was, as the Tenth Doctor once told Donna Noble, a "Hindu festival [with] lots of dancing." The Doctor once celebrated Navratri with Kamalnayan Bajij by bringing along some fireworks. (PROSE: Ghosts of India)
Anji Kapoor was a Hindu, but hadn't visited the temple since she was a child. (PROSE: The Crooked World)
Kali was a goddess in Hindu mythology.