We introduce a magnetoelectric junction driven by voltage-controlled magnetic anisotropy (VCMA-MEJ) as a building block for a range of low-power memory application. We present and discuss specifically two applications, magnetoelectric random access memory (MeRAM) and ternary contentaddressable memory (TCAM). The MEJ differs from a magnetic tunnel junction (MTJ) in that electric field is used to induce switching in lieu of substantial current flow in MTJ. Electric-fieldcontrol of magnetism can dramatically enhance the performance of magnetic memory devices in terms of switching energy efficiency and switching speed. The development of such an energy-efficient and ultra-fast memory has a potential to change the paradigm of a hierarchical memory system in the conventional computer architecture. By combining speed, low power, and high density, electric-field-controlled magnetic memory combines features of multiple separate memory technologies used in today's memory hierarchy. The performance of a VCMA-MEJs based MeRAM, especially in the case of one access transistor associated with one MEJ (1T-1R) structure, is evaluated by comparing it with that of phase-change RAM (PCRAM), resistive RAM (ReRAM), and spin transfer torque RAM (STT-RAM). MeRAM can achieve ultra-fast switching (<1 ns), low switching energy (~1 fJ), and compact cell size of 4 with a diode access device, as well as nonvolatility. For another application, we propose the VCMA-MEJ based TCAM, which will be referred to as MeTCAM, consisting of 4T-2MEJs. Since MeTCAM fully exploits the low-power and highdensity features of the VCMA effect both in write and search operation modes, it obtains a fast searching speed (0.2 ns) with the smallest cell area ( ) compared to previous works.Keywords-non-volatile memory, voltage-controlled magnetic anisotropy (VCMA), magnetoelectric junction (MEJ), magnetic tunnel junction (MTJ), magnetoelectric random access memory (MeRAM), ternary content-addressable memory (TCAM)