Maturity models are increasingly used to advance the processes of organizations, including Higher Education Institutions. In this paper, we review existing maturity models to analyze and optimize the accessibility of organizations. Therefore, we conducted a systematic literature research in the databases Web of Science, IEEE Xplore, BASE, ACM, and Google Scholar, resulting in 13 different maturity models. An additional web search on maturity models for accessibility found another 12 maturity models that we added to the results. Finally, we analyzed the 25 maturity models in more detail, specifically the indicators that each maturity model uses to measure accessibility. The most frequent indicators were “responsibility”, “competences & training”, and “monitoring”, with differences in the frequencies when separated by target group. Out of the 25 maturity models found, only 6 focused on Higher Education Institutions. None of the existing maturity models focuses on teaching and learning of accessibility explicitly.