Interface circuitry in communication with at least one non-volatile resistivity-sensitive memory is disclosed. The memory includes a plurality of non-volatile memory elements that may have two-terminals, are operative to store data as a plurality of conductivity profiles that can be determined by applying a read voltage across the memory element, and retain stored data in the absence of power. A plurality of the memory elements can be arranged in a cross-point array configuration. The interface circuitry electrically communicates with a system configured for memory types, such as DRAM, SRAM, and FLASH, for example, and is operative to communicate with the non-volatile resistivity-sensitive memory to emulate one or more of those memory types. The interface circuitry can be fabricated in a logic plane on a substrate with at least one non-volatile resistivity-sensitive memory vertically positioned over the logic plane. The non-volatile resistivity-sensitive memories may be vertically stacked upon one another.