All-solid-state lithium-metal batteries (ASSLMBs) are considered promising nextgeneration energy-storage devices for their high safety, high energy density, and long cycle life, where solid-state electrolytes (SSEs) play an essential role in adapting a lithium metal anode to a high-capacity cathode. However, there are still many obstacles to overcome for SSEs, including the narrow electrochemical window with an oxide cathode and a Li anode, low ionic conductivity, and poor interfacial mechanical property. Herein, the critical issues of electrochemical compatibility between some key SSEs and their adaptive electrode materials are focused on. The adaptation of different SSEs to electrode materials is summarized, recent methods for improving the electrochemical compatibility of SSE/ electrode interfaces are highlighted, and the perspective for future development of SSEs is discussed.