Hydrogen propulsion using low-temperature proton exchange membrane fuel cells (LT-PEMFC) offers a promising alternative to conventional combustion engines by reducing component complexity, lowering operating temperatures, and potentially decreasing operating costs. This paper presents a comprehensive system-level analysis of hydrogen-powered LTPEMFC propulsion systems for aircraft. Custom-developed models integrate fuel cells with auxiliary subsystems, including thermal management, compression, and power electronics, to size the propulsion system and fuel capacity according to a defined mission profile. Key performance metrics, including range, endurance, and liquid hydrogen volume requirements, are evaluated for a generic general aviation class baseline aircraft sized with an automotive-derived net 150 kW LT-PEMFCs. The analysis considers six key design variables (gross takeoff weight (GTOW), lift-to-drag ratio, propulsion efficiency, propulsion specific power, liquid hydrogen gravimetric index, and GTOW mass fraction) along with three operational parameters (climb rate, service ceiling, and cruise speed). Validation against an established flight mission demonstrates close agreement in liquid hydrogen consumption predictions. Under baseline operational conditions, the aircraft with a 1,814 kg GTOW is predicted to achieve a range of 3,203 km and 17.5 hours of flight. Sensitivity analyses indicate that when subjected to alternative design and operational constraints, incremental improvements in the GTOW mass fraction enable an additional 100 km of range with a minimal adjustment, while enhancements in the lift-to-drag ratio and propulsion efficiency reduce the liquid hydrogen required by 64% and 50% per 100 km relative to other design variables, respectively. Advanced technology improvements suggest a maximum performance potential of 15,474 km in range and 84.7 hours of flight time. These findings provide critical insights for optimizing fuel cell propulsion systems and establishing a cleansheet design framework for next-generation hydrogen-powered aircraft.