In recent years, accessibility has been widely studied in different domains, like transportation, health, governmental services, parks, and jobs. However, these studies present limitations regarding the number of analyzed services and the limited data access. Therefore, we propose a new accessibility metric to solve both problems, considering six different public services using open data from Open Street Maps. The idea behind this approach is to group deprived zones from public services access. We perform our study in Lima city, which is one of the most populated cities in South America.