A comprehensive assessment of smart grids is critical for their development. Existing scientific research testifies to the urgency and complexity of the problem of implementing smart grids effectively, both in terms of a single project performance and from the standpoint of creating a local, and later global, energy system. The multidimensionality of smart grids makes it challenging to assess the effectiveness of their implementation. Difficulties in evaluation arise because it is challenging to consider technical, technological, economic, and other relevant aspects of smart grids’ development within a single evaluation system. There are currently a significant number of smart grid assessment systems. However, it remains debatable how systematically and comprehensively they measure the efficiency of a smart grid. This, in turn, raises the question of whether there is a universal evaluation system that integrally considers all the crucial components of smart grids and is suitable for evaluating smart grid projects of different content. This article analyzes the most well-known approaches to comprehensive assessment of smart grids according to the completeness of their coverage of smart grids’ most critical components. This paper identifies the essential areas for assessing smart grids according to the most cited and authoritative research and regulatory documents of the European Union. As a result, seven groups of indicators were identified. These groups of indicators are the basis for comparative analysis of the comprehensive assessment approaches of smart grids. The results of the study should help determine the appropriateness of applying a particular evaluation system. In addition, the analysis of existing evaluation systems allows the shaping of a universal approach to evaluating smart grids comprehensively and systematically.