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Like the commercial market, open access has its share of scrupulous publishers. These predatory journals and publishers often require huge fees from authors before publishing their work. Jeffrey Beall, a librarian at the University of Colorado at Denver, has worked extensively to identify these predators. His list, which is linked below, is constantly updated but is not complete by any means as predatory journals spring up overnight. The number of predatory open access journals, though, has been estimated to be around 25%, so don't let these publishers cloud your overall judgment about open access.
Hosted by Princeton University Library and supported by the National Endowment for the Humanities, this site provides access to "a digital thematic research collection of art, music, and literary periodicals published between 1848, and year of the European Revolutions, and 1923--a functional boundary for works presumed to be in the public domain." -site Homepage
Though not technically an "open-access journal" in the traditional sense, this site has digitized "culturally significant magazines from around the early 20th century." (These are titles that are in the public domain.) A joint project with Brown University and the University of Tulsa, this site contains magazines that cover a wide variety of disciplines.