In recent times some publishers are intensively exploiting the model of open access publishing. During the last several years, studies have shown that there was a substantial increase in the number of fake publishers and hijacked journals. These cyber criminals make money by stealing the identities of legitimate journals and collecting the article processing charges on the papers that are submitted. This is all accomplished by a well developed framework that includes web development steps, intensive e-mail marketing and victim selections. This review article strives to recommend that the Beall's list of predatory publishers and journals should be consulted every time when an author plans to submit scientific work to some of the journals that are indexed by Thomson Reuters/Institute for Scientific Information-ISI and covered by the Journal Citation Report. Also, the authors are advised to be 'up to date' with new information regarding this controversial topic by informing themselves through various web-sites and specialized scientific portals. The review paper itself strives to summarize the most recent investigations on predatory and spurious journals/publishers which affect the entire scientific community, thus representing an outbreak with rising trend not only on national and regional level, but on global level as well.