  We apply the basis light-front quantization framework to solve for the
structures of mesons with light and strange valence quarks. Our approach treats
mesons as relativistic bound states with quarks confined in both the transverse
direction and the light-front longitudinal direction. The spin-orbit
interactions of these confined quarks are further specified by the
Nambu--Jona-Lasinio model. We address the $\mathrm{U}(1)_{\mathrm{A}}$ axial
anomaly by including the Kobayashi-Maskawa-'t Hooft interaction regularized by
our basis. We present the structures of the pion, the kaon, the eta meson, and
the eta-prime meson in terms of their valence light-front wave functions
obtained from the eigenvalue problem of our light-front Hamiltonian.
