These are the typical generational cohorts, as defined in the United States (and to a certain extent, Western Society generally). Of course, because they aren't strictly defined, the dates overlap to a certain extent.
So, to which generation to you belong? I am a Millennial.
The Lost Generation
Born 1880s – 1900s
Came of age during WWI
The Greatest Generation (“The GI Generation”)
Born 1900s – 1920s
Came of age during Great Depression & WWII
The Silent Generation (“The Lucky Few”)
Born 1920s – 1940s
Came of age during Korean War & peak of Cold War tensions
The Baby Boom Generation
Born 1940s – 1960s
Came of age during Vietnam War, Counterculture & Civil Rights Movement
Generation X (“The MTV Generation”)
Born 1960s – 1980s
Came of age with the rise of the personal computer & other technological advances
Generation Y (“The Millennials”)
Born 1980s – 2000s
Currently coming of age
Generation Z
Currently being born