Conventional fiber lasers generate lasing output through feedback between two mirrors at either end of the laser cavity. In contrast, random fiber lasers (RDFLs) utilize random distributed feedback enabled by Rayleigh backscattering, which allows for a simplified structure, no longitudinal modes, and emission at any wavelength through cascaded Raman processes. One of the main research topics of RDFLs is high-power operation. On the one hand, RDFL can serve as a robust seed for high-power fiber amplifiers, on the other hand, it can directly achieve high-power output. Since 2013, the output power of single-stage RDFLs has rapidly increased by implementing several techniques, which include replacing full-opened cavities with half-opened structures, shortening the length of passive fiber, increasing the mode field area, reducing the number of fiber modes (appropriately reducing the numerical aperture of the fiber core), and adopting a more temporally stable pump source. Thanks to these techniques, high power output of up to 1.57 kW have been achieved in 2021. However, the generation of high-power backward light has become a new obstacle limiting the power scaling of single-stage RDFLs.