The European Organisation for Astronomical Research in the Southern Hemisphere (ESO) was founded as an intergovernmental organisation 60 years ago with the mission of building and operating world-class ground-based telescopes and to foster cooperation for astronomy. A collection of world-leading telescopes have been developed since then, enabling many scientific discoveries and breakthroughs in our understanding of the Universe. Today ESO operates the world's most powerful optical/infrared observatory – the Very Large Telescope VLT and its Interferometer the VLTI – in Cerro Paranal, the unique sub/millimeter radio interferometer observatory ALMA (together with our international partners) in the Llanod e Chajnantor, both of them in the Atacama desert in Chile. We are also building the 40-m diameter ELT (Extremely Large Telescope) in Cerro Armazones (near Paranal), for which we expect to do the first scientific observations in 2028. ESO will also host in the Paranal/Armazones territory the southern part of the Cherenkov Telescope Array (CTA), the first observatory operating at Very-High-Energy gamma rays. I will present these facilities, highlight some breakthroughs enabled by them, and put our activities and wishes in the context of our Vision: to advance humanity's understanding of the Universe by working with and for the astronomy community, providing it with world-leading facilities.