Gold catalysis has experienced remarkable progress over the past two decades, particularly in transformations involving alkynes. While numerous aspects of gold-catalyzed reactions have been extensively reviewed, the specific area of cascade annulations between functionalized amines and alkynes represents a distinct and rapidly developing direction that warrants focused attention. This survey collects and systematically analyzes these transformations, which have emerged as convenient synthetic strategies to diverse nitrogen heterocycles. The relevant annulations are classified firstly by the chemical nature of the amine functional substituent, and secondly by the size of the formed ring. The field under consideration bridges several fundamental and practical branches of chemistry, including catalysis, organic synthesis, medicinal chemistry, and materials science.