Conventional ground-based transport systems often experience delays due to congested traffic. This is unacceptable in the case of transporting organs, blood, medicines and emergency supplies, when time is critical. Urban Air Mobility (UAM) offers a solution to overcome transportation inefficiencies. In fact, Unmanned Aerial Systems (UAS) can quickly reach remote locations providing critical care in a timely manner. However, ensuring efficiency, safety and compliance with regulations is essential. This paper presents the mission-oriented design approach of a UAS, focusing on two subsystems, namely the Unmanned Aircraft (UA) and the Functional Container (FC). The design of the UA involves choices for configuring its layout. The FC design focuses on the preservation of the transported material. Lightweight and reliable dedicated solutions are designed for FC leveraging Additive Manufacturing (AM) technology. The design is mission-oriented, but allows systems to be reconfigured for additional missions. The trials will validate the solution for the possible implementation of efficient, safe and consistently effective medical delivery missions in urban areas.