Until a few years ago, the physics of accretion onto compact objects was usually investigated for the regime below the critical Eddington rate. However, the super-critical accretion regime has now become a very active area of research. In the distant universe, super-critical accretion in quasars may have led to the rapid growth of nuclear black holes from intermediate-mass to supermassive: so, quantifying the photon and outflow output in such regime is crucial for our understanding of feedback and galaxy evolution. In the local universe, super-critical accretion happens today in a sub-population of X-ray binaries (ultraluminous X-ray sources), including those that will become progenitors of gravitational merger events. The inflow/outflow structure and geometry of emission of such super-critical sources is still hotly debated, with various attempts to progress from a phenomenological classification of sub-types towards a "unification scheme" similar to the one successfully applied to AGN in the 1990s. I will focus in particular on the role of jets and outflows in the super-critical regime: how we can detect them and how we can measure their power. I will illustrate recently discovered examples in nearby galaxies of super-critical compact objects surrounded by shock-ionized bubbles, evidence of their powerful outflows.
