(1) Background: Identifying hospital-related critical, and excellent, areas represents the main goal of this paper, in both a national and local setting. Information was collected and organized for an internal company’s reports, regarding civil litigation that has been affecting the hospital, to relate the obtained results with the phenomenon of medical malpractice on a national scale. This is for the development of targeted improvement strategies, and for investing available resources in a proficient way. (2) Methods: In the present study, data from claims management in Umberto I General Hospital, Agostino Gemelli University Hospital Foundation and Campus Bio-Medico University Hospital Foundation, from 2013 to 2020 were collected. A total of 2098 files were examined, and a set of 13 outcome indicators in the assessment of “quality of care” was proposed. (3) Results: From the total number, only 779 records (37.1%) were attributable to the categories indexable for the present analysis. This data highlights how, following a correct and rigorous categorization of hospital events, it is possible to analyze these medico-legal aspects using a small number of indicators. Furthermore, it is important to consider how a consistent percentage of remaining events was difficult to index, and was also of poor scientific interest. (4) Conclusions: The proposed indicators do not require standards to be compared to, but provide a useful instrument for comparative purposes. In fact, in addition to comparative assessment between different business realities distributed throughout the territory, the use of outcome indicators allows for a longitudinal analysis evaluating the performance of an individual structure over time.