The selection of appropriate materials for automotive bumpers is essential to improve performance, safety, and environmental sustainability. This study considers the most promising and high-performing materials for automotive bumpers, including carbon fibre-reinforced polymer, aramid fibre, glass fibre-reinforced polymer, basalt, and natural fibre composites as alternatives. Density, Young’s modulus, shear strength, yield strength, cost, and tensile strength have been chosen as criteria or major performance indicators of those materials. An entropy-based combined compromise solution (CoCoSo) approach is used to assess and choose the most suitable material for car bumpers among the chosen alternatives. The entropy method has determined the weights of each criterion, which is further used by the CoCoSo method during material selection. The study revealed carbon fibre-reinforced polymer (CFRP) as the most suitable material for the automotive bumper. Further, the finding matched well with the TOPSIS method. A sensitivity analysis finally determined the robustness of methodology.