With the rise of the internet of things, humanoid robots, and mobile healthcare services, etc., flexible electronic materials and devices have received extensive attention. Sensors and memories based on magnetic materials are important components of electronic devices. With the development of flexible film material preparation technology, one has prepared high-quality flexible and even stretchable magnetic metal and oxide films, which exhibit not only greater deformation capability, but also new physical effects and responses. Most recent studies show that flexible magnetoelectronic devices are advantageous in non-contact sensing, highly sensitive strain detection, and super-resolution tactile sensing, showing their broad application prospects. In this work, the research progress of this emerging field is reviewed from the aspects of the preparation of flexible magnetic materials, the regulation of physical properties and the applications of devices, and the future development trend is also presented.