Hydrogen is increasingly seen as a key energy carrier in transitioning towards a decarbonized global energy system. In particular, hydrogen stands as a pivotal factor in fostering environmentally friendly aviation. The storage system is essential to utilize hydrogen for propulsion in commercial aircrafts. This review concentrates on cryogenic tanks for physically storing hydrogen in liquid form. The main challenge of integrating large liquid hydrogen tanks into the aircraft is the low volumetric density of the fuel. When compared to conventional fuels, hydrogen offers only a quarter of the energy content per unit volume, and three times the energy content per unit mass. Effective storage solutions are crucial to aircraft usefulness, since liquid hydrogen typically requires voluminous, heavy, and well-insulated tanks. Literature highlights the dependence of the optimal solution on the aircraft's range category. This research focuses on the review of hydrogen fuel containment systems in short- and medium-haul flights. The objective of this analysis aims to spotlight the design intricacies involving key parameters such as diverse tank structures, layouts, shapes, venting pressures, and insulation strategies.