The growing interest in functional materials has resulted in the emergence of smart polymers, demonstrating practical performance in various applications especially for biomedical purposes. The properties of functional polymers are mainly determined by the presence of functional groups that differ from those in the main chains. While some polymers are naturally active and considered functional, others require modification for enhanced impact and functionality. Many functional polymers typically have a linear backbone, but very recently the attention has been shifted towards those with specific topologies and architecture, for example, bottlebrushes, stars, dendritic polymers, and gels. Over the past few years, there has been a rising emphasis on integrating selective bonds into complex polymer structures to enhance chain scission in single macromolecules. This review captures the most recent and promising approaches to the design of non‐linear functional polymers containing selective/cleavable bonds and discusses the potential of these materials for biomedical applications.