Born of the pen of the Canadian writer L.M. Montgomery, the little red-haired orphan comes to life in this anime, based on the first book in the long Anne series. Nobody has ever wanted her in her long and lonely 11-year-old life... until this dream comes true and she is going to have a wonderful home in Green Gables on Prince Edward Island with Marilla and Mathew Cuthbert. But all turns too good to be true - it was just a mistake; the Cuthberts have "ordered a boy" from the orphanage and have no need for a girl. And yet, soon Marilla and Matthew discover that they cannot live without this lively imaginative chatterbox. Green Gables becomes her home; Diana - the best "bosom friend" any girl ever dreamed of; Gilbert - the hated but never-despairing boy in love... Friends, dreams and school, scrapes and funny accidents, laughter and tears, tragedies and achievements - fill Anne's life as she goes on her road of growing up.

[Source: Anime News Network]

A summary of the Akage no Anne full series aired as TV specials.

Anne is an orphan full of imagination. When she arrives at her new home she learns that sometimes you have to be a sensible person too; at the same time her unique character changes, or at least attracts, the people around her. The story covers Anne's growth from about eleven to seventeen years old as she makes friends, goes to school and studies. At a difficult point in her life, Anne will have to make a hard choice and perhaps find a new dream.

[Source: AniDB]

The story of what happened to Anne Shirley before she was adopted.

Anne is an orphan full of imagination. When she arrives at her new home she learns that sometimes you have to be a sensible person too; at the same time her unique character changes, or at least attracts, the people around her. The story covers Anne's growth from about eleven to seventeen years old as she makes friends, goes to school and studies. At a difficult point in her life, Anne will have to make a hard choice and perhaps find a new dream.