The aerospace and automotive industries are working on lightweight structural materials with energy-absorbing properties and good mechanical properties to improve their functional parts’ efficiency and fuel consumption. Using different foams and porous structure-based parts inevitably reduces the overall mass of carrier vehicles and parts. Due to its peculiar mechanical behavior (i.e., negative modulus and Poisson’s ratio), specifically designed auxetic structure-based mechanical metamaterials have gained more research interest in recent years. It has resulted in the development of several new structural and hybridized unit cell-based auxetic structures with primitive, star, re-entrant, and origami-based structures. In the present work, an attempt has been made to design, simulate, and perform experimental characterization of re-entrant and star-based auxetic planar metamaterials for energy-absorbing applications. The designed structures are simulated using ABAQUS® with the ductile damage criterion to determine the failure modes under different loading conditions. The structures have been fabricated by acrylonitrile butadiene styrene (ABS) using the fused deposition modeling (FDM) process and further tested experimentally under compressive and tensile loading conditions. The digital image correlation (DIC) technique analyzes the strain field and calculates the Poisson's ratio of the designed structures.