I’m not sure if the strong emotional experiences of Pentecostals have exact analogues in other religions. The Greek mystery religion of Dionysius, which emphasized a sort of divine ‘madness’, and other mystery religions, seem similar. Some forms of Islamic Sufism which involve a ecstatic immersion into the divine in dancing and poetry might have a similarity, and in Catholic Christianity, some of the strong medieval devotions to Jesus and the saints as well as Charismatic Catholicism, and the strand of Marcarian spirituality from the Desert Tradition, might have a similarity.
Buddhism generally emphasizes calm, serenity and balance in all levels of meditation so ecstatic emotional states are generally removed by the proper practice of meditation. As for Hinduism, perhaps some forms of devotion to a God or Goddess might involve strong emotions, but other forms of meditation have aims very similar to Buddhism, quiet contemplative union of the mind with the Absolute.