Machining is an inevitable task after processing a material. Among the different materials, fiber-reinforced plastics are used as structural materials in different industries. Compared to conventional materials, fiber-reinforced plastics are less hard by its nature. Due to this reason, the cutting force required during machining a plastic material is lesser than that of other materials. Although the cutting force is less, the influence of other machining parameters on the ease of machining is to be investigated in order to reduce the machining time and cost. Hence, a review on the machining associated successes and failures will be helpful for the manufacturing sectors and researchers in line with the machinability. This review provides a detailed picture of various issues dealt during machining a plastic material. The influences of manufacturing methods on the machinability and machinability measurement methods are comprehensively addressed. In addition, this review also discusses about the influences of machining parameters and optimum conditions for machining. The review also addresses various statistical methods used, machinability enhancement methods adopted, and unconventional methods used in the various researches.