The standard \Lambda CDM model has been remarkably successful in accounting for a wide range of cosmological observations. However, with the advent of increasingly precise data, several notable discrepancies—such as the Hubble tension and the S_8 (\sigma_8) tension, among others—have emerged. Such persistent discrepancies may suggest the presence of physics beyond the standard \Lambda CDM paradigm. In this talk, I will begin by reviewing the current status of key cosmological tensions. I will then explore some example models and discuss their implications as potential clues to understanding the evolution of the Universe and the fundamental theories that underlie it.