Laminated magnetoelectric(ME) energy harvesters, with the advantages of miniaturization, flexibility,and diversified functions, have wide application prospects in self-powered monitoring of low-power devices,such as implanted medicine, Internet of Things(IoT), and micro-electromechanical systems(MEMS). The latestresearch progress in harvesters is reviewed, introducing their magneto-mechano-electric(MME) coupled energy conversionmechanisms. The types and structural features of various high-and low-frequency magnetic energy harvestersand low-frequency hybrid energy harvesters are examined, and their performances are comprehensively comparedand analyzed. The potential advantages of high-frequency magnetic energy harvesters in wirelessly powered medicaldiagnosis and treatment of implanted devices are highlighted. Further, the significant advantages of low-frequencyharvesters in self-powered sensing and monitoring of current-carrying IoT devices are indicated. Finally, existingproblems and future development directions for harvesting technology are summarized.