Book excerpt: This book illustrates the broad field of enantioselective catalysis by highlighting a few topics, out of myriads, with the double aim to typify selected synthetic achievements and future challenges. Eleven research groups have highlighted topics of interest in either organo- or organometallic catalysis, related to their own expertise. For mature fields, these short chapters, far from being exhaustive, show updated overviews including major recent advances and disclose a few prospects. Other chapters focus on upcoming topics in enantioselective catalysis, i.e. on classes of reactions or families of catalysts that are expected to provide appealing synthetic tools when suitably mastered. For all these areas, recent studies demonstrate highly promising perspectives.