Tom Brokaw assigned the description "Greatest Generation" to describe those people who grew up during the Great Depression and went on to fight World War II. It's often defined to include those born between 1901 and 1925, but the core of the GG generally includes people born between 1914 and 1924.
The Baby Boomers include people born during the post-war Baby Boom years of 1945 and 1964.
My generation is not as well known and doesn't really have a designated name. But I call it the "Lucky Generation," and I am an example.