Here are some examples:
Manu, the first human, found a small fish in his washwater. The fish begged protection from the larger fishes, in return for which it would save Manu. Manu kept the fish safe, transferring it to larger and larger reservoirs as it grew, eventually taking it to the ocean. The fish warned Manu of a coming deluge and told him to build a ship. When the flood rose, the fish came, and Manu tied the craft to its horn. The fish led him to a northern mountain and told Manu to tie the ship's rope to a tree to prevent it from drifting. Manu, alone of all creatures, survived. He made offerings of clarified butter, sour milk, whey, and curds. From these, a woman arose, calling herself Manu's daughter. Whatever blessings he invoked through her were granted him. Through her, he generated this race.
The king of the water demons fell in love with the woman Ngai-ti (Loved One). She rejected him and ran away. He pursued and surrounded the whole human race with water on the hill Phun-lu-buk, said to be in the far northeast. Threatended by waters which continued to rise, the people threw Ngai-ti into the flood, which then receded. The receding water carved great valleys; until then, the earth had been level.
Palau Islands (Micronesia):
The stars are the shining eyes of the gods. A man once went into the sky and stole one of the eyes. (The Pelew Islanders' money is made from it.) The gods were angry at this and came to earth to punish the theft. They disguised themselves as ordinary men and went door-to-door begging for food and lodging. Only one old woman received them kindly. They told her to make a bamboo raft ready and, on the night of the next full moon, to lie down on it and sleep. This she did. A great storm came; the sea rose, flooded the islands, and destroyed everyone else. The woman, fast asleep, drifted until her hair caught on a tree on the top of Mount Armlimui. The gods came looking for her again after the flood ebbed, but they found her dead. So one of the women-folk from heaven entered the body and restored it to life. The gods begat five children by the old woman and then returned to heaven, as did the goddess who restored her to life. The present inhabitants of the islands are descendants of those five children.
Lisu (northwest Yunnan, China, and neighboring areas):
After death came into the world as a result of a macaque's curse, sky and earth longed for human souls and bones. That is how the flood began. An orphaned brother and sister lived in squalor in a village. A pair of golden birds flew down to them one day, warned them that a huge wave would flood the earth, and told them to take shelter in a gourd and not to come out until they heard the birds again. The two children warned their neighbors, but the people didn't believe them. The children sawed off the top of a gourd and went inside. For ninety-nine days, there was no wind or rain, and the earth became parched. Then torrents of rain fell, and the resulting flood washed everything away. The brother and sister occasionally could hear the gourd bump against the bottom of heaven. After long waiting, they heard the birds calling, left the gourd, and found they had landed atop a mountain, and the flood had receded. But now there were nine suns and seven moons in the sky, and they scorched the earth during the day. The two golden birds returned with a golden hammer and silver tongs and instructed the children how to use them to get the dragon king's bow and arrows. Brother and sister went to the dragon pond and struck the reef-home of the dragon king with the hammer. This raised such a racket that the dragon king sent his servants (various fish) to investigate. The children grabbed the fish with the tongs and threw them on the bank. At last, the dragon king himself came to investigate and had to give his bow and arrows when he was likewise caught. With these, brother and sister shot down all but the brightest sun and moon. Brother and sister then went in search of other people, exploring north and south respectively. They found nobody else, and the golden birds appeared again and urged them to marry. They refused, but the birds told them it was the will of heaven. After divinations in the form of several improbable events (tortoise shells landing a certain way, a broken millstone came together, and the brother shooting an arrow through a needle's eye--all happening three times), they consented. They had six sons and six daughters which traveled different directions and became the ancestors of different races.
Altaic (central Asia):
Tengys (Sea) was once lord over the earth. Nama, a good man, lived during his rule with three sons, Sozun-uul, Sar-uul, and Balyks. Ülgen commanded Nama to build an ark (kerep), but Nama's sight was failing, so he left the building to his sons. The ark was built on a mountain, and from it were hung eight 80-fathom cables with which to gauge water depth. Nama entered the ark with his family and the various animals and birds which had been driven there by the rising waters. Seven days later, the cables gave way from the earth, showing that the flood had risen 80 fathoms. Seven days later, Nama told his eldest son to open the window and look around, and the son saw only the summits of mountains. His father ordered him to look again later, and he saw only water and sky. At last the ark stopped in a group of eight mountains. On successive days, Nama released a raven, a crow, and a rook, none of which returned. On the fourth day, he sent out a dove, which returned with a birch twig and told why the other birds hadn't returned; they had found carcasses of a deer, dog, and horse respectively, and had stayed to feed on them. In anger, Nama cursed them to behave thus to the end of the world. When Nama became very old, his wife exhorted him to kill all the men and animals he had saved so that they, transferred to the other world, would be under his power. Nama didn't know what to do. Sozun-uul, who didn't dare to oppose his mother openly, told his father a story about seeing a blue-black cow devouring a human so only the legs were visible. Nama understood the fable and cleft his wife in two with his sword. Finally, Nama went to heaven, taking with him Sozun-uul and changing him into a constellation of five stars.
Wiranggu (South Australia):
Djunban, a rain-maker, was hunting kangaroo rat with his magic boomerang, but he hit his "sister" Mandjia instead and wounded her leg. She hid the boomerang in the sand so he couldn't find it. The people were on the move, so he carried Mandjia. Later, he gave her to a woman to carry so he could search for his boomerang, and eventually he found it. Some time later he taught his people how to make rain. The next day they all traveled further. Mandjia died from her injury and metamorphosed into a rock. After traveling the next day, Djunban performed the rain-making ceremony again, but he was grieving his sister and not concentrating on his task, and the rain came too heavily. He tried to warn his people, but the flood came and washed away all the people and their possessions, forming a hill of silt. Gold and bones found in that hill came from those people.
Buryat (eastern Siberia):
The god Burkhan advised a man to build a great ship, and the man worked on it in the forest for many long days, keeping his intention secret from his wife by telling her he was chopping wood. The devil, Shitkur, told the wife that her husband was building a boat and that it would be ready soon. He further told her to refuse to board and, when her husband strikes her in anger, to say, "Why do you strike me, Shitkur?" Because the woman followed this advise, the devil was able to accompany her when she boarded the boat. With the help of Burkhan, the man gathered specimens of all animals except Argalan-Zan, the Prince of animals (some say it was a mammoth), which considered itself too large to drown. The flood destroyed all animals left on earth, including the Prince of animals, whose bones can still be found. Once on the boat, the devil changed himself into a mouse and began gnawing holes in the hull, until Burkhan created a cat to catch it.
And, of course,
God, upset at mankind's wickedness, resolved to destroy it, but Noah was righteous and found favor with Him. God told Noah to build an ark, 450 x 75 x 45 feet, with three decks. Noah did so, and took aboard his family (8 people in all) and pairs of all kinds of animals (7 of the clean ones). For 40 days and nights, floodwaters came from the heavens and from the deeps, until the highest mountains were covered. The waters flooded the earth for 150 days; then God sent a wind and the waters receded, and the ark came to rest in Ararat. After 40 days, Noah sent out a raven, which kept flying until the waters had dried up. He next sent out a dove, which returned without finding a perch. A week later he set out the dove again, and it returned with an olive leaf. The next week, the dove didn't return. After a year and 10 days from the start of the flood, everyone and everything emerged from the ark. Noah sacrificed some clean animals and birds to God, and God, pleased with this, promised never again to destroy all living creatures with a flood, giving the rainbow as a sign of this covenant. Animals became wild and became suitable food, and Noah and his family were told to repopulate the earth. Noah planted a vineyard and one day got drunk. His son Ham saw him lying naked in his tent and told his brothers Shem and Japheth, who came and covered Noah with their faces turned. When Noah awoke, he cursed Ham and his descendants and blessed his other sons. [Genesis 6-9]