There are no known serious problems with the theory of evolution.
Claims that there are fall into two (overlapping) categories:
Some supposed problems are questions about details about the
mechanisms of evolution. There are, and always will be, unanswered
details in every field of science, and evolution is no exception.
Creationists take controversies about details out of context to
falsely imply controversy about evolution as a whole.
Some supposed problems are misunderstandings, ignorance, or
fraudulent claims about what the science says.