The increasing focus on and importance of surgical care in achieving universal health coverage requires the development of safe and accessible anaesthesia services. Increasing access to care by supporting the necessary inputs to the anaesthesia system, including medications, equipment and personnel, must be accompanied by processes that support high-quality care, including support for education, and guidelines for standards, and training. As safe, high-quality care requires an integrated approach, each element must be supported together, i.e., in an integrated manner to ensure that anaesthesia care reaches those who need it, and in the safest possible manner. Several important efforts have been undertaken globally to address and foster these elements, and resources to guide these processes exist for low- and middle-income countries to improve them. This review highlights both the needs and resources for safe and high-quality care that patients deserve.