These databases below are your best bets for finding quality journal articles in the field of Classics.
Scholarly, or Refereed journals are best represented in these first two resources. Keep in mind that JSTOR, a wonderful storage for articles, does not include the most recent 3-5 years of a Journal's articles. Also it has a poor search and retrieval engine, and almost anything published after 1968 in JSTOR will be found much more easily by searching through Humanities Fulltext . Click the purple FUlltext button in the results and you will be linked to anything that happens to be in JSTOR.