As environmental regulations stemming from the use of plastics are implemented around the world, bioplastics are gaining traction to replace petroleum-based materials. 2,5-furandicarboxylic acid (FDCA), which can be converted from biomass, is a typical bio-based material used in the synthesis of bioplastics, whose structural properties can impart unique properties to polymers, such as high Tg and low gas and water permeability. In this review, we aim to investigate the properties of FDCA and how they vary with the chain length of the diol monomer and the type of co-monomer used to synthesize polyester based on it. In addition, the biodegradation behavior of the synthesized polyester is discussed, and the potential applications of FDCA-based polyester are suggested.