1 Introduction.- 2 Enamine Catalysis.- Aldol Reactions.- Mannich Reactions.- a-Heterofunctionalizations.- Conjugate Additions.- Dienamine Catalysis.- Combined Enamine-Catalyzed Approaches and Cascade Reactions.- Synopsis.- 3 Iminium Catalysis.- Pericyclic Reactions.- Conjugate Additions.- Iminium-Catalyzed Organocascade Reactions.- Synopsis.- 4 Combined Iminium-Enamine Catalyzed Approaches.- Cascade Reactions Using a Single Organocatalyst.- Organocascade Catalysis Using a Combination of Different Catalysts.- Synopsis.- 5 Singly Occupied Molecular Orbital (SOMO) Catalysis.- Friedel - Crafts Reactions.- Epoxide Formation.- Synopsis.- 6 Asymmetric Phase-Transfer Catalysis.- Asymmetric a-Alkylations.- Phase-Transfer Catalyzed Michael Additions.- Alkylative Dearomatization-Annulation Reaction.- Synopsis.- 7 Chiral Brønsted Acids and Hydrogen Bonding Donors.- Chiral Phosphoric Acids.- Chiral Diols.- Chiral (Thio)-Ureas.- Bifunctional Brønsted Acid-Base Active (Thio)-Ureas.- Synopsis.- 8 Chiral Brønsted and Lewis Bases.- Cinchona Alkaloids.- Phosphine Catalysis.- Carbene Catalysis.- Synopsis.- 9 Asymmetric Oxidations and Reductions.- Organocatalytic Oxidations.- Organocatalytic Reductions.- Synopsis.- 10 Conclusions.