The fish swims into Manu's hands at his morning washing, asks for protection because fish eat fish, and promises rescue. Reared in a jar and a pit and released in the sea, it grows into the largest of fish and names the flood year. Manu builds a ship, ties it to the fish's horn and is drawn to the northern mountain, where he moors to a tree and comes down as the water sinks. He alone survives. From his offering in the waters a woman rises, passes Mitra and Varuna, and declares herself his daughter and the blessing of the sacrifice; with her he brings forth the race of Manu. She is the ida offering.
Told by Markandeya. Manu son of Vivasvat does penance for ten thousand years in the Vishala jujube forest. A small fish in the river Chirini begs protection; he moves it from a jar to a tank, to the Ganga, to the sea. It tells him to build a ship with a long rope, board with the seven sages and all seeds, and look for a horned fish. It tows them for years to the highest Himalayan peak, since called Naubandhana, then declares itself Brahma, lord of creatures, and tells Manu to create all beings anew.
What is different here:
Manu is an ascetic; the seven sages and the seeds are aboard; the mountain is named; the fish reveals itself as Brahma Prajapati; no daughter and no ritual explanation.
South India · Dravida country, river KritamalaVaishnava
The fish is Vishnu. King Satyavrata of the Dravida country finds it in his cupped hands in the river Kritamala; it outgrows pot, well, lake and sea in a day. It foretells the flood in seven days, sends a boat, and has the king tie it to its horn with the serpent Vasuki. A demon who stole the Vedas is killed. Satyavrata becomes the Manu of the present age.
What is different here:
The fish is Vishnu; the hero is a southern king; the boat is sent by the god; the theft of the Vedas is added.
Manu does penance on the Malaya mountains and is granted the wish to save the world at its dissolution; he recognises the growing fish as Vishnu and ties the ship with a serpent.
What is different here:
Known here only through an encyclopedia summary; the Purana itself was not opened.
Sources: The Satapatha-Brahmana, tr. Julius Eggeling (Sacred Books of the East 12, 41); The Mahabharata, tr. K. M. Ganguli (1883-96), sections read for the Vedic layer; Srimad-Bhagavatam (Bhaktivedanta Vedabase); Wikipedia: Matsya