Academic journals and scholarly journals are two ways of saying the same thing. These journals publish articles that are typically written by scholars and experts who have studied the field they are writing about. The journals are targeted at professionals in the field or people who are studying the field.
Peer reviewed articles are found in academic/scholarly journals. They are written by scholars and experts, but they require an extra step before publication. Other equally qualified scholars and experts review each article for accuracy and significance before it can be published in a peer reviewed journal. Because of this more rigorous process, a peer reviewed article is considered to have the most value, even more than other scholarly articles.