SiC-based ceramic matrix composites reinforced by continuous fibre (SiC-based FRCMCs) are distinguished by their superior mechanical properties and high-temperature resistance, positioning them as candidates for demanding high-temperature applications. However, their brittleness, hardness, and heterogeneity present machining challenges, e.g., large machining force, unsynchronised material removal, and complex crack propagation, frequently resulting in severe damage even with advanced grinding methods. This paper critically reviews recent studies addressing these grinding difficulties, initially employing a combination of fibre-related angles to clarify the basic scratching behaviours, and then systematically elucidating the damage mechanisms from scratching to grinding. Distinctive aspects of damage mechanics have been also discussed, including fibre- induced differences in up grinding versus down grinding, and the influence from fibre architecture relative to grinding conditions. Moreover, the corresponding damage evaluations for both surface and subsurface have been summarised to understand how to effectively and efficiently acquire the data, bridging the gap between scientific exploration and industrial application. Lastly, this paper attempts to provide an outlook on future developments in this domain.