Hybrid electric propulsion could be the solution to the ambitious environmental targets of the aerospace industry. Fully-superconducting machines have the potential to deliver the step-change in specific torque, power and efficiency capabilities required for large civil transport aircraft applications. However fully-superconducting machines are still in their infancy. This paper investigates the electromagnetic design of two different stator design concepts for an AC fully-superconducting machine for an aerospace distributed fan motor application. A benchmark aerospace specification of 1 MW was chosen and the design of a conventional permanent-magnet machine was used to assess the performance of the two equivalent fully-superconducting AC motor designs. Following the guidelines from an experimental study of the losses in a small AC stator prototype with MgB _2 coils, a fully-superconducting air-cored stator design and a new yokeless stator design are proposed. Both AC superconducting machine designs use superconducting bulk magnets mounted on a rotor core and an MgB _2 superconducting stator winding. This paper discusses the key design issues of the two stator layouts in relation to the current aerospace targets for efficiency and power density.