Organic electrochemical transistors (OECTs) have emerged as versatile platforms for broad applications spanning from flexible and wearable integrated circuits to biomedical monitoring to neuromorphic computing. Various materials and tailored micro/nanostructures have been recently developed to realized stretchable OECT devices that accommodate the complex deformation, however, a solid-state OECT with high elasticity has yet to be demonstrated. Herein we developed a general platform for the facile creation of highly elastic all-polymer OECTs, with high transconductance up to 12.7 mS, long-term mechanical and environmental stability, as well as recyclability. Rapid prototyping of such devices was achieved simply by transfer printing PEDOT:PSS/LiTFSI microelectrodes onto a resilient gelatin-based gel electrolyte, in which both depletion- and enhancement-mode OECTs were produced based on various active channel materials. Moreover, the 3D architectures of the PEDOT:PSS electrodes and channels were elaborately engineered by soft lithographic approaches, allowing well-defined channel geometry and patterned morphologies at microscales. Remarkably, an imprinted 3D-microstructured channel/electrolyte interface in combination with wrinkled electrodes afforded OECT performance retained under biaxial stretching of 100% strain and 1000 repeated cycles of 80% strain. And the all-polymer OECTs were demonstrated to reliably operate in proof-of-concept on-skin, synapse-mimicking and biosensing applications. Additionally, the anti-drying and degradable gelatin electrolyte with the self-crosslinked PEDOT:PSS/LiTFSI jointly enabled stable performance for > 4 months in ambient conditions, as well as on-demand disposal and recycling. Thus, this work presents a straightforward approach towards the development of high-performance stretchable organic electronics for wearable/implantable/sustainable soft devices.