What are the advantages of a parliamentary system over a presidential one?

Presidential systems divide governmental authority into branches. The US has such a system divided into 3 branches of executive, legislative, and judicial.

Parliamentary systems don’t divide government in this way. The authority of making laws is invested in a body usually called a parliament, while its head (often called a prime minister) oversees the active functions of running the many bureaus that make up the government.

Since the head of a parliamentary majority runs the whole government, there is much less chance of stalemate between the branches. The US has seen this type of stalemate or dysfunction for the past few years in which the executive and the legislative branches are controlled by opposing forces.

Besides its ability to forego stalemate, what are other advantages of a parliamentary system over a presidential one?