Background: Museums and cultural institutions are increasingly aware of the needs and interests of the society they serve. Simultaneously, these institutions play a more significant role in public health and well-being, such as by conducting activities for people with cognitive impairment. Moreover, they prioritize their contribution to achieving the Sustainable Development Goals set by the United Nations within the framework of the 2030 Agenda, thus connecting both objectives. Method: A comparative case study was conducted to determine how the characteristics of cultural institutions conducting activities for individuals with cognitive impairment can affect their outcomes and promote well-being, inclusion, and equity. Data-collection techniques included non-participant observations, interviews, and document reviews. Results: This research suggests that certain characteristics of cultural institutions can influence the management and execution of cultural activities aimed at people with cognitive impairment, as well as their ability to promote well-being, inclusion, and equity. Conclusions: The characteristics of cultural institutions influence the management and execution of cultural activities aimed at people with cognitive impairment, as well as their impacts and benefits. Collaboration between diverse institutions enhances outcomes, promoting well-being, inclusion, and equity among participants.