Super-resolution fluorescence microscopy (SRFM), which can bypass the optical diffraction limit, provide an extremely important research tool for investigations of the subcellular structures and the dynamic processes of biological macromolecules. Therefore, since its invention, SRFM has been paid attention to and applied by scientists in the field of biology and medicine. Benefiting from the rapid development of life science and biotechnology in recent years, SRFM has been developed unprecedentedly. In this paper, we will mainly focus on the research progresses of four new kinds of SRFM, including minimal photon fluxes (MINFLUX), super-resolution optical fluctuation imaging (SOFI), super-resolution image based on anti-bunching effect, and deep-learning based super-resolution microscopy, respectively. We will briefly describe the recent research progresses and applications of these SRFM techniques from the basic principles, experimental implementation methods and related requirements, imaging performance, and comparison with other technologies, as well as the combination with other super-resolution techniques, to provide some references for researchers in this field.