MHD shocks and MHD turbulence are both, either individually or as a pair, physical processes of great importance in many astrophysical systems, and the solar atmosphere is no exception. These processes both relate to the rich physics of nonlinear waves and play a key role in the transport, conversion and dissipation of energy. Whether it be the launching of jets and surges, or the tangling of magnetic field, these physical processes connect with real observed phenomena. In this talk I will review the role of MHD shocks and turbulence in the solar atmosphere, introducing related observations, including my recent work on turbulence in solar prominences. Finally I will present some thoughts on the interesting areas that I feel are ripe for theoretical development, e.g. the role of the partially ionised plasma of the chromosphere on these processes.