Laboratory facilities employing high pulsed currents and voltages, and called generally "pulsed-power facilities", allow experimenters to produce a variety of hydrodynamical structures replicating, often in a scalable fashion, a broad range of dynamical astrophysical phenomena. Among these are: astrophysical jets and outflows, astrophysical blast waves, magnetized radiatively dominated flows and, more recently, aspects of simulated accretion disks. The magnetic field thought to play significant role in most of the aforementioned objects is naturally present and controllable in pulsed-power environments. The size of the objects produced in pulsed-power experiments ranges from a centimeter to tens of centimeters, thereby allowing the use of a variety of diagnostic techniques. In a number of situations astrophysical morphologies can be replicated down to the finest structures. The configurations and their parameters are highly reproducible; one can vary them to isolate the most important phenomena and thereby help in developing astrophysical models. This approach has emerged as a useful tool in the quest to better understand magnetohydrodynamical effects in astronomical environments. The present review summarizes the progress made during the last decade and is designed to help readers identify and, perhaps, implement new experiments in this growing research area. Techniques used for generation and characterization of the flows are described. 1 Retired 2 CONTENTS I. Introduction II. Jets and outflows-weak magnetic field A. Generating plasma streams and plasma jets with wire arrays. B. Hypersonic, radiatively cooled hydrodynamic jets and their interaction with the ambient medium C. Hydrodynamic interaction of the jets with a side wind D. Highly-collimated jets produced by ablation of the central area of a metal foil III. Jets and outflows-significant magnetic field A. Magnetically-dominated tower jets B. Formation of energetic ions in a magnetic cavity C. Possible role of axial magnetic field B. Episodic events and internal shocks E. Magnetic arches and their stability F. MHD equilibria stabilized by the shear flow IV. Rotating plasmas-on the way to imitating the accretion discs V. Shock waves A. General comments B. Blast waves and radiative precursors C. Shocks in the colliding streams D. Introducing magnetic field E. Interaction of magnetized streams with clumps and globules VI. Non-MHD effects A. Hall and other two-fluid effects B. Generation of energetic particles C.