People hold different views on this avatar. According to the Puranas, Buddha was born as the son of Ajanik in Bihar.
Like Lord Rama, even Shri Krishna is a complete incarnation (Purna Avatar). Likewise, Krishna avatar occurs once in a kalpa.
The most purifying tale of Rama is world famous. King Dasharatha’s Putra Kameshthi Yajna, led to the birth of Sri Rama from his chief queen Kaushalya, Lakshmana and Shatrughana from his second queen Sumitra and Bharata from his third queen Kaikeyi.
After ruling for a long span, Manu retired to the forest along with his wife dedicating himself to the service of Bhagavan. A few hungry demons pounced to attack Manu. Bhagavan assumed Yagna Avatar and consumed the demons who dared to attack his devotee.
During the churning of the ocean, Dhanvantari emerged from the waters holding a pitcher-full of nectar. The Asuras at once snatched the pot of nectar from his hands. The deva were once again dejected. The asuras began to squabble as to who shall have the first drink and how much.
Vena, the son of king Anka, was an extremely unrighteous king. He had prohibited Yajna, and holy activities in his reign. The sages tried to convince him to mend his ways but to no avail. Ultimately the rishis burnt the atrocious king with a tumultuous roar.
Once the Sanat Kumar brothers approached Lord Brahma and enquired about the precepts of knowledge (Gyana). Lord Brahma was busy with his creation work and found it tough to answer their deep existential questions.
Vaishnavas are devotees of Lord Vishnu. They worship Lord Vishnu, His incarnations and anything concerning Him. There are 4 main sampradayas or sects in Vaishnavas.
The Tantras have described innumerable forms of Lord Shiva. Some prominent forms of Lord Shiva have been described herein-
Lord Shiva is the prime cause for creation. This is the faith of the followers of the Shaiva Sampradaya. Lord Shiva is Maheshwara. He is beyond the cosmic sound of Aum. He only assumes the forms of Brahma, Vishnu and Rudra for creation, maintenance and annihilation.