The complexity of the vascular network has fascinated scientists for more than 500 years. Angiogenesis is one of the significant morphogenetic processes by which new blood vessels grow from the existing vasculature and is essential for embryonic development, tissue homeostasis, repair, and wound healing. Aberrant angiogenesis is associated with severe disease, including cancer, retinopathies, and ischemia, and is often a target of therapeutic approaches. Several growth factors, notably Vascular Endothelial Growth Factor (VEGF) and angiopoietin (Ang), have been identified as significant regulators of angiogenesis. They act primarily on endothelial cells that express their cognate cell membrane receptors and are primary drug targets. However, proper spatiotemporal regulation of angiogenesis critically depends on signals from the extracellular space. Therefore, to fully understand and effectively target angiogenesis, we must develop models that integrate at least part of the complexity of the extracellular microenvironment surrounding the growing blood vessels. This Methods Collection aims at bringing together the latest research in the development of models, assays, and experimental platforms (in vitro, in vivo, or ex vivo) for studying angiogenesis and which recapitulate critical aspects of the extracellular microenvironment, such as: • Extracellular matrix components (e.g., composition, distribution, conformation) • Architecture and geometry (e.g., fibrillar, 3D) • Mechanical properties (e.g., stiffness, compressibility) • Multicellularity (e.g., spheroids, organs-on-chips) We welcome essential research contributions, addressing fundamental aspects of angiogenesis and clinical research, focusing on drug discovery and personalized medicine applications.