<p>This study investigates the static bending response of simply supported laminated composite plates by developing and comparing three four-variable refined plate theories. The proposed models incorporate an exponential variation of transverse shear stresses through the plate thickness, thereby inherently satisfying the zero-traction boundary conditions at the top and bottom surfaces without requiring empirical shear correction factors. The first formulation (RPT1) employs a conventional displacement field, while the second (RPT2) introduces an extension component to the transverse displacement, and the third (RPT3) further accounts for thickness-stretching effects. Governing equilibrium equations are systematically derived via Hamilton’s variational principle and solved analytically via the Navier solution based on a double Fourier series expansion for anti-symmetric cross-ply laminates under sinusoidal loading. The predictive accuracy of the proposed theories is rigorously validated against three-dimensional elasticity solutions, classical plate theory, and established higher-order shear deformation models. Numerical assessments reveal that all three formulations yield highly accurate in-plane stresses and deflections, particularly for thin to moderately thick plates. Notably, RPT3 captures the parabolic variation of transverse displacement induced by thickness stretching, whereas RPT1 and RPT2 predict a uniform through-thickness deflection. A critical limitation is identified in RPT2: while it improves displacement predictions, it fails to enforce zero transverse shear stress at the free surfaces when evaluated through constitutive relations. Overall, the exponential shear function framework demonstrates exceptional computational efficiency and precision, offering a robust analytical tool for the design and optimization of advanced laminated composite structures.</p>