Do any major religions accept some form of biological evolution as part of their theology or do they all have creationist beliefs?

Answer 1

Actually, just about all of the major religions accept evolution. Most think that God (whatever they call him) directed it. It really is just a relatively small (but extremely popular in the US) part of Evangelical Christianism that rejects evolution.

The vast majority of people in the US that do not believe in evolution have no religious or philosophical objection to it. They are just misinformed about the scientific support for it.

Answer 2

The Dalai Lama has said that if science proves something that is inconsistent with Buddhism, then Buddhism will change.
The position of the Catholic Church is as follows:

• Pope Pius XII stated in his encyclical Humani Generis (1950) that there was no opposition between evolution and the doctrine of the faith and that he considered the doctrine of "evolutionism" a serious hypothesis, worthy of investigation and in-depth study equal to that of the opposing hypothesis;
• Pope John Paul II, in an address to the Pontifical Academy of Sciences (1996), said that new knowledge has led to the recognition of the theory of evolution as more than a hypothesis;
• Pope Benedict has refused to endorse "intelligent design" theories, instead backing "theistic evolution" which considers that God created life through evolution with no clash between religion and science.
  

The Episcopal Church has said that the theory of evolution does not conflict with Christian faith. In 2006, the General Convention affirmed, via Resolution A129, that God is creator and added:

• The theory of evolution provides a fruitful and unifying scientific explanation for the emergence of life on earth, that many theological interpretations of origins can readily embrace an evolutionary outlook, and that an acceptance of evolution is entirely compatible with an authentic and living Christian faith.