The continuous progress in flexible electronics is shaping human lives for more convenience and comfort. In this field, the interconnection and novel display applications are acknowledged as an important future direction. However, it is a huge scientific and technical challenge to develop intrinsically flexible displays due to the limited display panel by its size and shape. To address this conundrum, it is crucial to develop intrinsically flexible electrode materials, semiconductor materials, dielectric materials as well as the relevant flexible transistor drivers and display panels. In this review, we focus on the recent progress in this field from seven aspects: background and concept, intrinsically flexible electrode materials, intrinsically flexible organic semiconductors and dielectric materials for organic thin film transistors (OTFTs), intrinsically flexible organic emissive semiconductors for electroluminescent devices, and OTFT-driven electroluminescent devices for intrinsically flexible displays. Finally, some personal suggestions and prospects for the future development of intrinsically flexible displays were proposed.