In the present paper, the acoustoelastic theory of guided waves is developed for several plates symmetries. The goal is to illustrate how the stress effect changes as the anisotropic symmetry of the plate changes. Accordingly, phase velocity change of SH₀ mode can reach about 0.13%, 0.42%, 0.065% and 0.8% for the monoclinic, trigonal, tetragonal and orthorhombic plates, respectively. Evanescent Lamb waves for the different plates are also calculated. In addition, we show that the different plates symmetries provide a unique observation of Lamb dispersion curves with multiple ZGV points.