In addition to ArticlesPlus and L'Année Philologique (the main database for Classics journals), the Bryn Mawr Classical Review is an excellent source specifically for scholarly book reviews in Classics. Here are the most recent 5 reviews from BMCR:
Other Book Review Sources
In addition to the sources listed below, many classical journals include book review sections.
Reviews of "books published in the history of what was called science from antiquity up to the early modern period in cultures ranging from Spain to India, and from Africa to northern Europe. " Began publishing in 2004.