The advanced search of JSTOR allows you to limit to journals in sociology and/or anthropology.

Main index to research in sociology, anthropology, and related fields in the social and behavioral sciences.

(Also known as Web of Science) Search through current and historical literature in the social sciences, and perform cited reference searching to see who has cite a particular document.
Note: To do cited reference searching, click on "cited reference search," fill in an author's last name and publication date, figure out which of the resulting list of citations match the work you're looking for, and then "finish search" to see who has cited that work.

(Searches through citations, subject indexing, and some full text)
Contains the full-text of the journals, newsletters, and bulletins of the American Anthropological Association (AAA). Covers 1960 - current.