Since the discovery of HTS, scientists had to face many challenges to develop these materials in a useful conductor form, and yet only three – Bi2Sr2CaCu2O8-x, Bi2Sr2Ca2Cu3O10-x and REBa2Cu3O7-x (RE = rare earth) – are available commercially. The challenges revolved around the complexity of making high Jc in polycrystalline materials, because of the intrinsic electronic anisotropy and of the great current blocking effects of randomly oriented grain boundaries. This lecture focuses on the recent progresses in REBa2Cu3O7-x (REBCO) coated conductors (CCs), which have paved a way for the development of all‐superconducting magnets capable of generating fields in the range of 30 T, i.e. well beyond the limits of LTS technology. The performance of REBCO CCs is strongly influenced by fabrication route, conductor architecture and materials, and these parameters vary from one manufacturer to another. This lecture presents an overview of the relevant electromagnetic, electromechanical and thermophysical properties of state‐of‐the‐art REBCO CCs and discuss the implications for the design of high field magnets.