This paper introduces a novel spectral shift Legendre method for analyzing the vibrational characteristics of laminated functionally graded materials (LFGMs) plates with openings. By employing shifted Legendre series as permissible displacement functions, the computational process is significantly simplified by transforming the integral and differential calculations in the vibration characteristic equation into matrix multiplication. The stability and accuracy of the method are ensured by expanding the displacement at shifted Gauss-Lobatto points (SGLP). The proposed method is then extended to study the dynamic performance of LFGMs plates with openings. To achieve this, a dynamic equation for LFGMs plates without openings is constructed based on the first-order shear deformation theory (FSDT) and LFGMs theory. Subsequently, by setting the weights of the SGLP corresponding to the opening locations to zero, a rapid and accurate solution to the vibration problems of LFGMs plates with openings is realized. To verify the reliability and accuracy of the method, vibrational analyses of several typical LFGMs plates with openings are conducted, and the results are compared with existing literature and results obtained using the finite element method (FEM). The comparisons indicate that the method is reliable and effective, offering a more direct and convenient modeling process. This work significantly expands the application scope of spectral methods and provides a new perspective for the vibrational analysis of LFGMs with openings.