Traditional Karen beliefs sound an awful lot like the book of Genesis. They believed in one God, named Y’wa (similar to the Hebrew name for God), who was the creator of the universe.  God made man who then ate a forbidden fruit and fell away from God. There is an ancient Karen poem that reads: 

Y’wa formed the world originally.
He appointed food and drink.
He appointed the “fruit of trial”.
He gave detailed orders.
Mu-kaw-lee deceived two persons.
He caused them to eat the fruit of the tree of trial.
They obeyed not; they believed not Y’wa ...
When they ate the fruit of trial,
They became subject to sickness,
aging and death.

There are many more similarities and much speculation as to the Karen’s true origin. Some think they may even be one of the lost tribes of Israel.

In another version of the story, there were 6 or 7 people groups in the beginning of creation.  One of these groups was Karen, and another was white. God gave a book to the people but the Karen people were more interested in planting food and doing their work than paying attention to God. The white man paid attention, however, and spread out far away from the Karen people. 

The legend had it that day the white man would return to the Karen bringing the golden book from God. When white missionaries first came in 1812, bringing the Bible and introducing Christianity to the Karen, many Karen saw it as the fulfillment of their prophecy and readily converted. 'Conversion' might not even be the right term, since the book was seen as an extension of their previous beliefs.

Another Karen story, taken from clearpathinternational.org tells the story of a fox and a bird:

The fox lives at the bottom of a tree. The bird lives at the top, where she pecks the bark to look for insects to eat. But the fox sees trouble.

“Please do not chip the bark because it will fall down and hurt me,” he says. The bird ignores him and, sure enough, the bark splinters into many pieces and falls down on the fox, hurting his back in many small places.

“Now I will take you to court,” says the fox. “You hurt me very seriously!”

Once in front of the judge, the fox makes his complaint with the bird as the accused. The judge asks: “Where are your injuries?” He shows the judge the spots on his back. They are barely visible to the judge.

“But those spots are tiny,” says the judge. “Why did you come to my court to complain about such a small injury?”

“Well, they may seem small to you, but they are very big to me,” he answers.

Pah ends his story and remains silent for a moment. Then, he explains the moral. “Never judge someone else’s injuries,” he says to the applause of everyone listening.