Dental implants are the primary structure that strengthens and stabilizes the oral cavity. This is especially important in cases where age-related degeneration or accidental trauma necessitate partial or complete replacements. Dental Implantology, a surgical procedure that replaces damaged or missing teeth with artificial metallic or multi-material implants, demands meticulous consideration of factors such as size, shape, material, porosity, and stress distribution to select the optimal implant for each patient. In this study, a standard dental implant model is employed as a reference to evaluate mechanical parameters such as stress, deformation, and factor of safety. These parameters are critical for implant longevity and functionality. This analytical investigation examines various alloy combinations of titanium, chromium, and cobalt, focusing on their biomechanical properties. Among the materials analyzed, Co–Ni–Cr–Mo (Wrought) alloy, Ti–6Al–4 V, Ti–6Al–7Nb, and Ti–35Nb–5Ta–7Zr–0.4O, Co–Ni–Cr–Mo emerged as the top-performing candidates, demonstrating excellent balance across critical parameters exhibiting a maximum stress of 382.73 MPa, a strain of 0.00167 m/m, deformation of 0.00172 mm, and the highest factor of safety at 2.612. These properties make it the best candidate for dental implant applications. The research aims to provide a comprehensive understanding of materials’ biomechanical performance. This will guide the selection of an optimal dental implant material that ensures durability, stability, and improved patient outcomes.