Expanding global access to safe surgical and anaesthesia care is crucial to meet the health targets of the Sustainable Development Goals (SDGs). As global surgical volume increases, improving safety throughout the patient care pathway is a public health priority. At present, an estimated 4.2 million individuals die within 30 days of surgery each year, and many of these deaths are preventable. Important considerations for the collection and reporting of perioperative mortality data have been identified in the literature, but consensus has not been established on the best methodology for the quantification of excess surgical mortality at a hospital or health system level. In this narrative review, we address challenges in the use of perioperative mortality rates (POMR) for improving patient safety. First, we discuss controversies in the use of POMR as a health system indicator and suggest advantages for using a “basket” of procedure-specific mortality rates as an adjunct to gross POMR. We offer then solutions to challenges in the collection and reporting of POMR data, and propose interventions for improving care in the preoperative, operative, and postoperative periods. Finally, we discuss how health systems leaders and frontline clinicians can integrate surgical safety into both national health plans and patient care pathways to drive a sustainable safety revolution in perioperative care.