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In this talk, I will summarize the missing mass problem at galaxy scales, and will explore the possibility that some of the current most salient challenges of galaxy formation might have a fundamental origin, rather than simply indicate a problem in our understanding of the modeling of baryons within the standard Lambda Cold Dark Matter cosmological model. I will therefore explore how alternatives to Cold Dark Matter can help (or not) to solve some of these riddles, going all the way from warm, mixed, fuzzy or self-interacting dark matter to more radical alternatives such as modified gravity.