Recent advancements in AI have increasingly prioritised humanlike interactions, a development this paper characterises as the anthropomimetic turn. Distinguishing anthropomimesis (the design and implementation of humanlike features in AI systems) from anthropomorphism (the tendency for humans to attribute human qualities to non-human entities), this paper argues that contemporary Large Language Models (LLMs) like ChatGPT represent robustly anthropomimetic systems, effectively mimicking human patterns of conversation and cognition. The paper outlines significant benefits of anthropomimetic AI—including improved accessibility, enhanced delivery of socially mediated goods in fields like healthcare and education, and provision of direct social goods through AI companionship—but also identifies critical risks. These risks encompass sophisticated forms of manipulation, novel cybersecurity threats like impersonation and AI jailbreaks, and complex alignment challenges arising from anthropomorphic training methodologies. Finally, the paper explores philosophical and social concerns, notably around dependency, deskilling, and authenticity, underscoring the urgent need for interdisciplinary research and thoughtful regulatory frameworks.