It is helpful to know the author, title of work, and year of publication when looking for book reviews.
Project MUSE offers journal titles from 40 scholarly publishers and covers the fields of literature and criticism, history, the visual and performing arts, cultural studies, education, political science, gender studies, economics, and many others.
JSTOR provides access to several collections of backfiles of scholarly publications covering the social sciences, humanities, and sciences. JSTOR includes the full runs of each journal, generally up to 1-7 years from the present.