Context. Blue Compact Galaxies (BCG) are narrow emission-line systems, undergoing a violent burst of star formation. They are compact, low-luminosity galaxies, with blue colors and low chemical abundances, that offer us a unique opportunity to investigate collective star formation and its effects on galaxy evolution in a relatively simple, dynamically unperturbed environment. Spatially resolved spectrophotometric studies of BCGs are essential for a better understanding of the role of starburst-driven feedback processes on the kinematical and chemical evolution of low-mass galaxies near and far. Aims. We carry out an integral field spectroscopy (IFS) study of a sample of luminous BCGs, with the aim to probe the morphology, kinematics, dust e...