Recently, we have released the results of a comprehensive study of a couple thousand single-crystal La 2− x Sr x CuO 4 films, covering densely the entire overdoped side of the phase diagram (Božović et al. Nature 536 , 309–311, 2016 ; Wu et al. Nature 547 , 432–435, 2017 ). Here, we review the key experimental findings, place them in the context of other important well-established facts and observations, and discuss their implications for our understanding of high-temperature superconductivity in cuprates. We conclude that it involves some new physics that requires going beyond the standard Fermi liquid description of the normal state and Bardeen-Cooper-Schrieffer description of the superconducting state.