The recent non von Neumann chip architectures are mainly classified into the AI architecture and the neural architecture. We focus on these two categories, and introduce the representatives each with a brief history. The AI chip architecture is difficult to escape essentially from the von Neumann architecture as far as it is language-oriented. The neural architecture, however, may yield an essentially new computer architecture, when the new device technologies will support it. In particular, the optoelectronics and the quantum electronics will provide a lot of powerful technologies.