Publishers' web sites often list their new books by subject area.  If you want to keep up on new books coming out in the field of anthropology, you might want to bookmark the following sites:

Many journals contain book review sections.  A good way to stay on top of the newest literature is to browse these book reviews as the journals come out. 

AnthroSource is probably the easiest place to do this.  Simply click "Browse AnthroSource," click on a journal title, go to the newest edition and look for the book reviews section.  See images below.

Project Muse contains the full text of many anthropology journals and can be browsed or searched for book reviews.  

JSTOR lets you limit a search to anthropology journals and to book reviews, but it does not have the most recent issues of journals.  Though it is a great place to find book reviews, it is not an appropriate place to find the newest books reviewed.

Browzine is an online tool that allows you to browse, read, and stay current with scholarly journals. You can select Anthropology journals by first selecting Social Science and Behavioral Science. You can browse journal titles by sub-discipline (ie, Social & Cultural Anthropology, Linguistic Anthropology) and sort lists of journal by "rank."  

Catalyst, the library's catalog, allows you to filter results to show book reviews. Search for a book title, then filter the results by clicking "Reviews." You can also browse the results to see which items are book reviews, since book reviews will occasionally be labeled as "Articles."