The recent release of the 2nd AIAA sonic boom geometry offers the opportunity to review the classical anisotropic adaptive strategies for complex geometries. The design of Mach-aligned tailored grids is also a great challenge to see how adaptivity can compete with user-defined tailored grids. Two classical adaptive strategies, multi-scale and goal-oriented, are compared with the results obtained on tailored grids. For the flow solver, we discuss several low-dissipation numerical schemes of order 4th and 6th with respect to regular 2nd order scheme both on inviscid and RANS flow conditions. We finally perform a non-linear error analysis to assess the convergence of the sequence of adaptive meshes with respect to tailored grids. All results and discussions are based on the C25D baseline geometry.