In this paper, we present a shortened historical review of the building blocks concept. With the concept we show that three B’s can lead to three A’s: Building Bodies and Brains leads to applications for Anybody, Anywhere, Anytime. Hence, we outline how the inspiration from artificial life, especially regarding the relationship between the body and brain, leads to a building block concept based upon interactive, distributed parallel processing. The historical outline shows how biomimetic robotics and behavior-based robotics has inspired the development of modular playware. Application examples based upon the concept include LEGO I-Blocks, playgrounds, multi-sensory rooms, robomusic, etc. In the paper, we attempt to explore the theoretical characteristics of the concept and the lessons learned for playware application fields.