What series of films showcases the life and struggles of a single family over multiple generations?

The Godfather Trilogy is a compelling choice as it intricately explores the dynamics of the Corleone family over multiple generations, particularly emphasizing themes of power, loyalty, and the impact of organized crime on family relations. The trilogy spans several decades, illustrating how the family's values, struggles, and decisions evolve from the early 20th century to the 1980s. Viewers witness the transitions between characters such as Vito Corleone, Michael Corleone, and later generations, providing a profound commentary on the American Dream, family legacy, and the costs associated with power and ambition.

In contrast, while the other films involve significant narratives and character developments, they do not focus solely on a single family's generational story. The Dark Knight Trilogy centers on Batman's battle against crime in Gotham City; The Matrix Trilogy deals with the struggle against a dystopian future; and the Harry Potter Series chronicles Harry's journey in the wizarding world, but it primarily revolves around his friendships and battles against external threats rather than a single family's legacy.