First, there was a great deal of diversity in Enlightenment thought, especially between France and England. Generally, though, the Enlightenment is seen as the birthplace of what is sometimes called classical liberalism. Enlightenment thinkers generally supported religious freedom or at least tolerance, freedoms of the press and speech, rights of the accused, and in constitutional government.
They did not generally support many ideas that would crystallize as socialism in the nineteenth century, but it is important to remember that the eighteenth century was largely pre-industrial, and that socialism emerged in response to the Industrial Revolution and the inequalities it generated. Many Enlightenment thinkers believed that inequalities made republican government impossible, and while few advocated government ownership of the means of production, some (Jean-Jacques Rousseau being the most notable) did argue that governments needed to preserve material equality to the greatest extent possible.
As for communism, some of its theoretical underpinnings (the dialectic and the materialistic view of history) might have been broadly acceptable to some Enlightenment thinkers, but again, it was the product of a very different Europe, one which bore the stamp of both the Industrial Revolution and the French Revolution.