This paper presents a comprehensive review of the current state-of-the-art computational modeling techniques for predicting debonding processes and interface failures in fiber-reinforced polymer (FRP) composites. By highlighting the limitations associated with exclusive reliance on testing methods, the necessity of modeling approaches becomes apparent, particularly for a thorough analysis of the complex interplay between interfacial strength and overall fracture behavior. The review explores cutting-edge advancements in interface modeling techniques, including BEM, CZM, VCCT, XFEM, DEM, and MD. The research encompasses the advantages and limitations of each method, leading to a comprehensive discussion on their applications and potential synergies. Key findings include insights into the benefits of BEM, challenges with VCCT, advantages of trapezoidal and trilinear CZMs in simulating delamination, promises and challenges of XFEM, limitations of DEM, and the potential of multiscale modeling combining MD simulations with microstructure-based and macroscopic evaluations. Additionally, the integration of various software packages is discussed, providing diverse capabilities for investigating fiber/matrix interface debonding in FRP composites. The insights provided in this review establish a robust foundation for future research, suggesting recommendations to tackle existing challenges and enhance the accuracy of FRP composite interface modeling.