As emerging computing paradigms push beyond the limitations of traditional CMOS-based computing using Von Neumann architectures, there is a growing need to rethink and extend Electronic Design Automation (EDA) methodologies to support their unique characteristics. These paradigms—including Approximate Computing, In-Memory Computing, Reconfigurable Field-Effect Transistors (RFETs), and Photonic Computing—represent diverse and promising directions beyond conventional digital design. Collectively, they offer transformative potential for achieving significant improvements in energy efficiency, computational speed, and architectural scalability. For example, application-specific approximate computing enables the design of custom arithmetic circuits that exploit application-level error resilience, allowing for optimized accuracy–power–performance–area (PPA) trade-offs in error-tolerant applications. Similarly, processing-in-non-volatile memories, such as those based on Ferroelectric Field-effect Transistors (FeFETs), enhances energy efficiency by enabling analog computation—particularly for operations like matrix multiplication—directly within the memory arrays. The intrinsic polymorphism of RFETs supports compact, multifunctional logic gates and introduces new opportunities for circuit-level obfuscation and security-aware design. Likewise, photonic analog wavefront computing offers substantial gains in latency and energy efficiency by encoding and processing information in the analog optical domain, leveraging phenomena such as diffraction and interference to perform computation at the speed of light. However, they also introduce a host of new challenges in circuit and architecture design, such as vast and irregular design spaces, analog and non-Boolean behavior, and new device-level constraints that existing EDA tools are not capable of handling. To this end, the current article focuses on the development of efficient and robust EDA frameworks that can enable the practical realization of circuits and architectures in these emerging domains.