Matsya: The fish. Vishnu takes the form a of fish to save Manu from the deluge, after which he takes his boat to the new world along with one of every species of plant and animals, gathered in a massive cyclone.
Kurma: The giant tortoise. When the Devas and asuras churning the ocean of milk in order to get Amrita, the nectar of immortality, the mount Mantra. They were using as the churning staff started to sink and Vishnu took the form of a tortoise to bear the weight of the mountain.
Varaha: The boar. He appeared to defeat Hiranyaksha, a demon who had take the earth, or Prithvi and carried it to the bottom of what is described as the cosmic ocean in the story. The battle between Varaha and Hiranyaksha is believed to have lasted for a thousand years, Which the former finally won. Varaha carried the earth out of the ocean between his tusks and restored it to his place in the Universe.
Narasimha: The half man/ half -lion. The rakshasa (Demon) Hiranyakashipu, the elder brother of Hiranyaksha, was granted a powerful broom from Brahma, not allowing him to be killed by man or animal, Inside or out, day or night on earth or the stars with a weapon either living or inanimate. Vishnu descended as an anthropomorphic incarnation, with a body of a man and head and claws of a lion. He then disembowels the rakshasa at the courtyard threshold of his house, at dusk with his claws, while he lay on his tights.
Vamana: The dwarf. The fourth descendent of Hiranyakashyap, Bali with devotion and penance was able to defeat Indra, the God of firmament. This humbled the other deities extended his authority over the three worlds. The Gods appealed to Vishnu for protection and he descended as a boy Vamana during a yajna of the King. Vamana approached him and Bali promised him for whatever he asked. Vamana asked for three paces of land, Bali agreed, and the dwarf then changed his size to that of a giant. He stepped over heaven in his first stride, and the netherworld with the second. Bali realized that Vamana was Vishnu incarnatie. In deference the king offered his head as third place of Vamana to place his foot. The avatar did so and thus granted Bali immortality. Then in appreciation to Bali and his grandfather Prahlada. Vamana made him ruler pathala, the netherworld.
Parashurama: The warrior with axe. He is son of Jamandangi and Renuka and received an axe after a penance to Shiva. He is the first Brahmin - Kshatriya in Hinduism, or warrior - saint with duties between a Brahmin and a Kshatriya. King kartavirya Arjuna and his army visited the father of Parashuram at his Ashram, and the saint was able to feed them with the divine cow Kamadhenu. the king demanded the cow, but Jamandangi refused. Enraged the king took it by force and destroyed the ashram. Parashurama then killed the king at his place and destroyed his army in revenge the sons of Kartavirya killed Jamandangi. Parashurama took a vow to kill every kshatriya on earth twenty one times over, and filled five lakes with their blood. Ultimately his grandfather Rishi rucheeka, appeared before him and made him halt. He is a Chiranjeevi (Immortal) and believe to be alive today in penance at Mahendragiri.
Rama: The prince and the king of Ayodhya. He is a commonly worshiped avatar in Hinduism. and is thought of as the ideal heroic man. His story is recounted in one of the most widely read scripture of Hinduism, The Ramayana. While in exile from his own kingdom with his brother Lakshman and God Hanuman, and his wife Sita was abducted by the demon king of Lanka, Ravana. He travelled to Lanka killed demon king of Langa to save Sita.
Balarama: The elder brother of Krishna, is regarded generally as an avatar of Shesha. However Balarama is included as the eight avatar of Vishnu in the Sri Vaishnava lists. He is particularly included in the list were Krishna is removed and becomes the source of all.
Krishna: Was the eight son of Vasagi and Vasudeva. A frequently worshiped deity in Hinduism. He is the hero of various legends and embodies qualities such as love and playfulness.
Buddha: Gautama Buddha, the founder of Buddhism is commonly included as an avatar of Vishnu in Hinduism, Buddha is sometimes depicted in Hindu scriptures as a preacher who deludes and leads demon and heretics away from the path of the Vedic Scripture, but another view praises him a compassionate teacher who preached the path of Ahimsa.
Kalki: is described as the final incarnation of Vishnu. Who appears in the end of the Kaliyug. He will be atop a white horse and a sword will be drawn, blazing like a comet. He appears when only chaos, evil and persecution prevails. Dharma has vanished and he ends the Kaliyuga to restart Satya Yuga and another cycle of existence.