Power systems with a high share of renewable energy sources face new challenges with respect to reliability management. Scientific literature argues that a paradigm shift is needed in terms of reliability management to efficiently integrate a large amount of renewable energy sources and the required flexibility services. Reliability management involves the use of indicators to support system operation and to assess its performance. Many indicators (proposed to be) used in power system reliability management are presented in technical and scientific literature. To coordinate the development, selection and use of indicators in power systems with a high share of renewable energy sources, this paper presents a structured and consistent overview of the characteristics and the scope of indicators currently in use and available in the literature. A transparent way to characterize indicators is proposed. Available indicators are analyzed in terms of the generic properties of an adequate indicator: relevance in the context of evolving reliability management, ease of use, data availability and reliability determined by the data accuracy. Based on this analysis, missing indicators, shortcomings of existing indicators and directions for future work in a practical and scientific context are identified.