The lattice Boltzmann method (LBM) became a household name in the simulation of nearly-incompressible flows. In this presentation, I shall first review a success of LBM in its traditional domain and demonstrate ways to develop compressible flow LBM for transonic and mildly supersonic flow using a recent extended formulation. After that, I will present arguments on why the conventional LBM formulations become difficult for hypersonic flows and describe an ongoing research on the Particle-on-Demand model for extreme compressible flow simulations.