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This book provides a systematic and methodological review of research-driven building envelope design, establishing a scientifically validated framework for analyzing innovations and complexities in advanced facade systems. It addresses the growing fragmentation of knowledge in advanced facade design by offering a transparent, reproducible, and PRISMA-based analytical apparatus capable of organizing heterogeneous research contributions into a coherent scientific structure. It systematically examines innovations and complexities through two interconnected domains: "innovative and complex design" methodologies, and "innovative and complex environmental and energy design" approaches. Within this framework, building envelopes are interpreted as multi-functional, adaptive, and computable systems, rather than static architectural components. Topics include computational and parametric design methodologies, simulation and performance-driven procedures, optimization and algorithmic decision-making frameworks, multi-criteria decision-making methods, BIM-integrated workflows, digital twins, and Artificial Intelligence-driven systems. These topics are not treated as isolated technologies but as interdependent methodological constructs whose relationships, assumptions, and limitations are critically assessed through structured comparison. The book also addresses a critical gap in existing literature by formalizing design knowledge through hierarchical organization of procedures and tools, supported by comparative diagrams and synoptic frameworks. Selected projects and experimental applications are used not as illustrative case studies but as verification layers to assess methodological robustness and operational feasibility.