Solid-state lithium-metal batteries (SLMBs) have been regarded as one of the most promising next-generation devices because of their potential high safety, high energy density, and simple packing procedure. However, the practical applications of SLMBs are restricted by a series of static and dynamic interfacial issues, including poor interfacial contact, (electro-)chemical incompatibility, dynamic Li dendrite penetration, etc. In recent years, considerable attempts have been made to obtain mechanistic insight into interfacial failures and to develop possible strategies towards excellent interfacial properties for SLMBs. The static and dynamic failure mechanisms at interfaces between solid electrolytes (SEs) and electrodes are comprehensively summarized, and design strategies involving interfacial modification, electrode/SE engineering, and the monolithic construction of SLMBs are discussed in detail. Finally, possible research methodologies such as theoretical calculations, advanced characterization techniques, and versatile design strategies are provided to tackle these interfacial problems.