This paper provides a comprehensive review of battery energy storage systems (BESSs) and their management systems (BMSs), focusing on the integration of renewable energy resources and the challenges posed by the intermittent nature of these resources. The authors highlight the importance of BMSs in ensuring safe and efficient operation of BESSs, particularly in the context of electric vehicles (EVs) and grid applications. The paper discusses the evolution of battery technologies, the role of BMSs in enhancing battery performance and longevity, and the critical functions of BMSs such as temperature regulation, cell charge balancing, and fault detection. It also reviews various health indicators (HIs) used to monitor battery health, including voltage, current, and temperature-based metrics, and their significance in estimating the state of health (SOH) and remaining useful life (RUL) of batteries. The paper aims to provide a detailed classification and discussion of these HIs and their estimation methods, contributing to the ongoing research and development in the field of battery management systems.This paper provides a comprehensive review of battery energy storage systems (BESSs) and their management systems (BMSs), focusing on the integration of renewable energy resources and the challenges posed by the intermittent nature of these resources. The authors highlight the importance of BMSs in ensuring safe and efficient operation of BESSs, particularly in the context of electric vehicles (EVs) and grid applications. The paper discusses the evolution of battery technologies, the role of BMSs in enhancing battery performance and longevity, and the critical functions of BMSs such as temperature regulation, cell charge balancing, and fault detection. It also reviews various health indicators (HIs) used to monitor battery health, including voltage, current, and temperature-based metrics, and their significance in estimating the state of health (SOH) and remaining useful life (RUL) of batteries. The paper aims to provide a detailed classification and discussion of these HIs and their estimation methods, contributing to the ongoing research and development in the field of battery management systems.