  We report on the latest additions to our open-source, block-grid adaptive
framework MPI-AMRVAC, which is a general toolkit for especially
hyperbolic/parabolic partial differential equations (PDEs). Applications
traditionally focused on shock-dominated, magnetized plasma dynamics described
by either Newtonian or special relativistic (magneto)hydrodynamics, but its
versatile design easily extends to different PDE systems. Here, we demonstrate
applications covering any-dimensional scalar to system PDEs, with e.g.
Korteweg-de Vries solutions generalizing early findings on soliton behaviour,
shallow water applications in round or square pools, hydrodynamic convergence
tests as well as challenging computational fluid and plasma dynamics
applications. The recent addition of a parallel multigrid solver opens up new
avenues where also elliptic constraints or stiff source terms play a central
role. This is illustrated here by solving several multi-dimensional
reaction-diffusion-type equations. We document the minimal requirements for
adding a new physics module governed by any nonlinear PDE system, such that it
can directly benefit from the code flexibility in combining various temporal
and spatial discretisation schemes. Distributed through GitHub, MPI-AMRVAC can
be used to perform 1D, 1.5D, 2D, 2.5D or 3D simulations in Cartesian,
cylindrical or spherical coordinate systems, using parallel
domain-decomposition, or exploiting fully dynamic block quadtree-octree grids.
