Currently, with booming development and worldwide usage of rechargeable electrochemical energy storage devices, their safety issues, operation stability, service life, and user experience are garnering special attention. Smart and intelligent energy storage devices with self‐protection and self‐adaptation abilities aiming to address these challenges are being developed with great urgency. In this Progress Report, we highlight recent achievements in the field of smart energy storage systems that could early‐detect incoming internal short circuits and self‐protect against thermal runaway. Moreover, intelligent devices that are able to take actions and self‐adapt in response to external mechanical disruption or deformation, i.e., exhibiting self‐healing or shape‐memory behaviors, are discussed. Finally, insights into the future development of smart rechargeable energy storage devices are provided.