Vortices passing near solid bodies lead to a wide array of phenomena associated with the unsteady force imposed by the vortex on the body, as well as possible boundary layer shedding and effects of the body back onto the vortex. This topic is important in many applications involving bluff body flows, including helicopter aerodynamics, aircraft aerodynamic interactions, hydraulic pumps, wind turbine wake interaction, and bridge stability. Vortex impact on a flat wall is examined, including the generation of boundary layer vorticity along the wall and the interesting phenomenon of vortex rebound. Parallel vortex-body interaction, in which the vortex axis is parallel to the axis of a cylindrical body, is examined for the problems of flow past stationary and oscillating cylinders, as well as vortex wakes of two cylinders placed in tandem. An application is examined for the problem of fish swimming in the vortex street wake behind a bluff body.