Due to the fact that each culture/religion/region of the world has it's own creation myths I will only include a few:
Mayan Creation Myth in the Popol Vuh
An Excerpt from the Popol Vuh, which is the book which holds many Mayan myths (including that of creation) explains the creation of humans:
"This is the first account, the first narrative. There was neither man, nor animal, birds, fishes, crabs, trees, stones, caves, ravines, grasses, nor forests; there was only the sky. The surface of the earth had not appeared. There was only the calm sea and the great expanse of the sky. There was nothing brought together, nothing which could make a noise, nor anything which might move, or tremble, or could make noise in the sky. There was nothing standing; only the calm water, the placid sea, alone and tranquil. Nothing existed. There was only immobility and silence in the darkness, in the night. Only the creator, the Maker, Tepeu, Gucumatz, the Forefathers, were in the water surrounded with light. [...] Then Tepeu and Gucumatz came together; then they conferred about life and light, what they would do so that there would be light and dawn, who it would be who would provide food and sustenance. Thus let it be done! Let the emptiness be filled! Let the water recede and make a void, let the earth appear and become solid; let it be done. Thus they spoke. Let there be light, let there be dawn in the sky and on the earth! There shall be neither glory nor grandeur in our creation and formation until the human being is made, man is formed. [...] First the earth was formed, the mountains and the valleys; the currents of water were divided, the rivulets were running freely between the hills, and the water was separated when the high mountains appeared. Thus was the earth created, when it was formed by the Heart of Heaven, the Heart of Earth, as they are called who first made it fruitful, when the sky was in suspense, and the earth was submerged in the water."
Together, gods attempted to create living beings so that the they may be praised and venerated by their creation. Their first attempts (animals, mud man, and wooden man) proved unsuccessful because they lacked speech, souls, and intellect.
"This the Forefathers did, Tepeu and Gucumatz, as they were called. After that they began to talk about the creation and the making of our first mother and father; of yellow corn and of white corn they made their flesh; of cornmeal dough they made the arms and the legs of man. Only dough of corn meal went into the flesh of our first fathers, the four men, who were created. [...] And as they had the appearance of men, they were men; they talked, conversed, saw and heard, walked, grasped things; they were good and handsome men, and their figure was the figure of a man."
Greek Creation Myth-Story of Nyx (via http://www.cs.williams.edu/~lindsey/myths/myths_16.htmllindsey/myths/myths_16.html )
In the beginning there was an empty darkness. The only thing in this void was Nyx, a bird with black wings. With the wind she laid a golden egg and for ages she sat upon this egg. Finally life began to stir in the egg and out of it rose Eros, the god of love. One half of the shell rose into the air and became the sky and the other became the Earth. Eros named the sky Uranus and the Earth he named Gaia. Then Eros made them fall in love.
Uranus and Gaia had many children together and eventually they had grandchildren. Some of their children become afraid of the power of their children. Kronus, in an effort to protect himself, swallowed his children when they were still infants. However, his wife Rhea hid their youngest child. She gave him a rock wrapped in swaddling clothes, which he swallowed, thinking it was his son.
Once the child, Zeus, had reached manhood his mother instructed him on how to trick his father to give up his brothers and sisters. Once this was accomplished the children fought a mighty war against their father. After much fighting the younger generation won. With Zeus as their leader, they began to furnish Gaia with life and Uranus with stars.
Soon the Earth lacked only two things: man and animals. Zeus summoned his sons Prometheus (fore-thought) and Epimetheus (after-thought). He told them to go to Earth and create men and animals and give them each a gift.
Prometheus set to work forming men in the image of the gods and Epimetheus worked on the animals. As Epimetheus worked he gave each animal he created one of the gifts. After Epimetheus had completed his work Prometheus finally finished making men. However when he went to see what gift to give man Epimetheus shamefacedly informed him that he had foolishly used all the gifts.
Distressed, Prometheus decided he had to give man fire, even though gods were the only ones meant to have access to it. As the sun god rode out into the world the next morning Prometheus took some of the fire and brought it back to man. He taught his creation how to take care of it and then left them.
When Zeus discovered Prometheus' deed he became furious. He ordered his son to be chained to a mountain and for a vulture to peck out his liver every day till eternity. Then he began to devise a punishment for mankind. Another of his sons created a woman of great beauty, Pandora. Each of the gods gave her a gift. Zeus' present was curiosity and a box which he ordered her never to open. Then he presented her to Epimetheus as a wife.
Pandora's life with Epimetheus was happy except for her intense longing to open the box. She was convinced that because the gods and goddesses had showered so many glorious gifts upon her that this one would also be wonderful. One day when Epimetheus was gone she opened the box.
Out of the box flew all of the horrors which plague the world today - pain, sickness, envy, greed. Upon hearing Pandora's screams Epimetheus rushed home and fastened the lid shut, but all of the evils had already escaped.
Later that night they heard a voice coming from the box saying,
"Let me out. I am hope."
Pandora and Epimetheus released her and she flew out into the world to give hope to humankind.
Cherokee (Native American) Creation Myth (via http://www.cherokee-nc.com/index.php?page=97)
Earth is floating on the waters like a big island, hanging from four rawhide ropes fastened at the top of the Sacred four directions. The ropes are tied to the ceiling of the sky, which is made of hard rock crystal. When the ropes break, this world will come tumbling down, and all living things will fall with it and die. Then everything will be as if the earth had never existed, for water will cover it. Maybe the white man will bring this about.
Well, in the beginning also, water covered everything. Though living creatures existed, their home was up there, above the rainbow, and it was crowded. "We are all jammed together," the animals said. "We need more room." Wondering what was under the water, they sent Water Beetle to look around.
Water Beetle skimmed over the surface but couldn't find any solid footing, so he dived to the bottom and brought up a little dab of soft mud. Magically the mud spread out in the four directions and became this island we are living on – this earth. Someone Powerful then fastened it to the sky ceiling with ropes.
In the beginning the earth was flat, soft, and moist. All the animals were eager to live on it, and they kept sending down birds to see if the mud had dried and hardened enough to take their weight. But the birds flew back and said that there was still no spot they could perch on.
Then the animals sent Grandfather Buzzard down. He flew very close and saw that the earth was still soft, but when he glided low over what would become Cherokee country, he found that the mud was getting harder. By that time Buzzard was tired and dragging. When he flapped his wings down they made a valley where they touched the earth; when he swept them up, they made a mountain. The animals watching from above the rainbow said, "If he keeps on, there will only be mountains," and they made him come back. That's why we have so many mountains in Cherokee land.
At last the earth was hard and dry enough, and the animals descended. They couldn't see very well because they had no sun or moon, and someone said, "Lets grab Sun from up there behind the rainbow! Lets get him down too!" Pulling Sun down, they told him, "Here's a road for you," and showed him the way to go....from east to west.
Now they had light, but it was much too hot, because Sun was too close to the earth. The crawfish had his back sticking out of a stream, and Sun burned it red. His meat was spoiled forever, and the people still won't eat crawfish.
Everyone asked the sorcerers, the shamans, to put Sun higher. They pushed him up as high as a man, but it was still to hot. So they pushed him farther, but it wasn't far enough. They tried four times, and when they had Sun up to the height of four men, he was just hot enough. Everyone was satisfied, so they left him there.
Before making humans, Someone Powerful had created plants and animals and had told them to stay awake and watch for seven days and seven nights. (This is just what young men do today when they fast and prepare for a ceremony). But most of the plants and animals couldn't manage it, some fell asleep after one day, some after two days.
Among the trees and other plants, only the cedar, pine, holly, and laurel were still awake on the eighth morning. Someone Powerful said to them: "Because you watched and stayed awake as you had been told, you will not lose your hair in the winter." So these plants stay green all the time.
After creating plants and animals, Someone Powerful made man and his sister. The man poked her with a fish and told her to go give birth. After seven days she had a baby, and after seven more days she had another, and every seven days another came. The humans increased so quickly that Someone Powerful, thinking there would soon be no more room on this earth, arranged things so that a woman could have only one child every year. And that's how it was.
Now, there is still another world under the one we live on. You can reach it by going down a spring, a water hole; but you need underworld people to be your scouts and guide you. The world under our earth is exactly like ours, except that it's winter down there when its summer up here. We can see that easily, because spring water is warmer than the air in winter and cooler than the air in summer.