Neuromorphic electronics emulate the computational principles of biological neural systems, offering low-power, adaptive, and parallel signal processing capabilities for next-generation intelligent systems. When integrated with stretchable platforms, neuromorphic devices gain the mechanical compliance necessary to interface seamlessly with soft, dynamic biological environments, enabling applications in wearable computing, bioelectronic skins, and implantable artificial intelligence. This review provides a comprehensive overview of recent progress in stretchable neuromorphic electronics, covering device architectures, material design strategies, underlying neuromorphic mechanisms, and novel applications. We also discuss key challenges and outline future research directions toward advancing the performance, integration, and translational potential of stretchable neuromorphic systems. Ultimately, we aim to provide a foundational resource to guide the co-design of materials, devices, and systems toward autonomous, skin-conformal neuromorphic intelligence.