Composite plates reinforced with landfill waste materials, such as banana fibers (B), palmyra sprouts (PS), and chicken feathers (CF), have found applications in engineering, contributing to reduced environmental pollution. These materials, despite posing environmental hazards and significant recycling challenges, offer high tensile strength, water resistance, thermal insulation, lightweight properties, low density, elasticity, and strength. In this research, composite plates were prepared using the aforementioned waste materials combined with jute (J), sisal fiber (S), and polyester resin (PR) as a matrix, utilizing the compression molding method. An impact hammer test was conducted to understand the dynamic characteristics of the composite plates with two proportions (15:10:5:70 and 10:15:5:70) of three different combinations: PS:S:CF:PR, J:S:CF:PR, and B:S:CF;PR. The specimen sizes considered for this analysis had aspect ratios of a/b = 0.125 and a/b = 0.25. The fundamental natural frequency of banana fiber, sisal fiber, and chicken feather-based polyester resin composites was found to be 279.69 Hz for a/b = 0.25 and 609.38 Hz for a/b = 0.125 among all other combinations. For aspect ratios of a/b = 0.125 and a/b = 0.25, the natural frequency and damping factor of all composites increased for the 15:10:5:70 and 10:15:5:70 proportions. However, for the a/b = 0.25 aspect ratio with a 15:10:5:70 proportion, the natural frequency and damping factor decreased due to the specimen size. In contrast, for the a/b = 0.25 aspect ratio, the natural frequency decreased and the damping factor increased due to a 5% increase in sisal fiber weight in the composite plates. These materials could be utilized for high-frequency applications to absorb energy through vibration.