  We investigate geodesic completeness in the full family of pp-wave or
Brinkmann spacetimes in their extended as well as in their impulsive form. This
class of geometries contains the recently studied gyratonic pp-waves, modelling
the exterior field of a spinning beam of null particles, as well as NPWs, which
generalise classical pp-waves by allowing for a general wave surface. The
problem of geodesic completeness reduces to the question of completeness of
trajectories on a Riemannian manifold under an external force field. Building
upon respective recent results we derive completeness criteria in terms of the
spatial asymptotics of the profile function in the extended case. In the
impulsive case we use a fixed point argument to show that irrespective of the
behaviour of the profile function all geometries in the class are complete.
