AnthroSource has full-text from 32 journals published by the American Anthropological Association.
PubMed is a good place to start for biological / medical anthropology.
GeoBASE will give you articles with a geographic focus.
FRANCIS has European articles in the social sciences.
Humanities and Social Sciences Retrospective (1907-1984) indexes older articles in the social sciences.
International Bibliography of the Social Sciences has good coverage of articles in other languages.
JSTOR has useful articles, but there's a 3-5 year delay for most journals. You may find newer articles in other databases.
Project MUSE Culture and gender studies, includes PDF book downloads.
When you find a good article, click to get the online PDF or find our printed copy. If Berkeley doesn't have that journal, you can always request it from another library.
Another strategy: if you find a great article, look up its references in our Citation Linker to get those, too... or search Google Scholar ("cited by") to see what newer articles have mentioned the one you found.
Abstracts in Anthropology keeps you up to date on recent articles with a citation and short sentence from the paper (e.g. Migrants have been attracted by new investment opportunities and bring capital and knowledge from previous experiences.)
Annual Review of Anthropology are articles reviewing the literature on a topic like cognitive anthropology, the anthropology of money, or social networks. A great way to learn about the history and context of research in a current area.
Reviews in Anthropology discuss a particular theme ("human-dog relationships") by comparing the insights from several recently published books at once.