We take a critical perspective in discussing recent publications on the archaeological study of the ancient state-level societies of Latin America. For some topics, such as intensive agriculture and exchange, data are far ahead of theory, whereas for others (e.g., gender and ethnicity), theory has outstripped data. Craft production, a topic that has achieved a good balance of data and theory, is one of the success stories of recent Latin American archaeology. After a discussion of sources of data, we review these and other topics (e.g., consumption patterns, household studies, social organization) in terms of both data and theory. In a second review article, we cover the topics of politics, religion, urbanism, and the processes of change.