In recent years, several advances in artificial intelligence such as deep learning, computer vision, automatic driving, cognitive computing, and robotics, have laid the technological foundation for the large-scale application of Smart-AMPs in complex environments. Potential solutions have appeared for smart transportation, aerospace exploration, smart logistics and smart cities. This article summarizes all kinds of autonomous moving platforms, proposes a definition of Smart- AMPs, and investigates taxonomy, technologies, applications, open issues and key challenges for Smart-AMPs. This article is suitable as a pedagogical overview of Smart-AMPs.