Light-field microscopy has demonstrated remarkable potential in biomedical imaging. However, its inherent challenges—such as uneven spatial sampling and reconstruction artifacts—have limited its broader application. To address these issues, this paper introduces the recent advancements in Fourier light-field microscopy (FLFM). By recording light field information in the Fourier domain, FLFM achieves a consistent aliasing of both spatial and angular components of incident light. This innovative approach effectively mitigates reconstruction artifacts and enhances the uniformity of imaging resolution. In this work, we provide a comprehensive explanation of the imaging principles, system designs, and reconstruction algorithms of FLFM, comparing its point spread function to that of conventional light-field microscopy. Furthermore, we explore the application of FLFM in biological research, particularly in subcellular imaging and model organism studies. Finally, we offer insights into the future directions of FLFM.