In this paper, various active and passive configurations for a rectification system that minimize the characteristic harmonics of the input phase current waveform and achieve compliance with the harmonic current specifications for future more electric aircraft will be presented. The passive topologies involve multi-pulse transformer rectification systems while the active topologies look into active rectification. These rectification systems are to be used for the ac-to-dc conversion that comprises the first stage of the ac-to-ac conversion for applications such as motor drives in aircraft systems. Particular emphasis is given to a novel topology called Reduced Switching Element Matrix Inverter (RESEMI) which performs the ac-to-ac conversion with fewer switches than the matrix converters. The paper also presents system level solutions and compares qualitatively selected topologies.