© 2020, Tsinghua University Press and Springer-Verlag GmbH Germany, part of Springer Nature. The unique physical and chemical properties of metal halide perovskites predestine the devices to achieve high performance in optoelectronic field. Among the numerous high qualities of perovskites, their different low-temperature synthesis methods and preparation processes make them impressive and popular materials for flexible optoelectronic devices. Mainstream perovskite devices, for instance, solar cells, photodetectors and light-emitting diodes, have been fabricated on flexible substrates and show outstanding flexibility as well as high performance. For soft wearable electronic systems, mechanical flexibility is the premier condition. Compared to common devices based on rigid substrates, flexible perovskite devices are more practical and see widespread applications in energy, detection, display, and other fields. This review summarizes the recent progress of flexible perovskite solar cells, photodetectors and light-emitting diodes. The design and fabrication of different high-performance flexible perovskite devices are introduced. Various low-dimensional perovskite materials and configurations for flexible perovskite devices are presented. In addition, the limitations and challenges for further application are also briefly discussed. [Figure not available: see fulltext.].