PsycARTICLES – More than 70 full-text psychology journals published by the American Psychology Association.
Academic Search Premier – More than 4500 magazines and scholarly journals. NOTE: Limit your search to "Scholarly (Peer Reviewed) Journals" and possibly "Full Text".
JSTOR – More than 10 full-text psychology journals. NOTE: Scroll down and select Psychology from the list of available disciplines to limit your search to just psychology journals.
PMC - The U.S. National Library of Medicine's free full-text archive of biomedical and life-sciences journal literature.