The sequels that continue the story of Anne Shirley after "Anne of Green Gables" include:
Anne of Avonlea: This book follows Anne's experiences as a teacher at a local school in Avonlea.
Anne of the Island: Anne goes to college at Redmond College and experiences new adventures.
Anne of Windy Poplars (or Windy Willows in some editions): Chronicles Anne's experiences as a principal of a high school.
Anne's House of Dreams: Follows Anne's early married life and her new home with Gilbert Blythe.
Anne of Ingleside: Focuses on Anne's life as a mother and her family.
Beyond the books, there are several miniseries that have adapted these stories, including:
Anne of Green Gables: The Sequel: Also known as "Anne of Avonlea," this 1987 miniseries covers the events from multiple books including "Anne of Avonlea," "Anne of the Island," and "Anne of Windy Poplars" source.
Anne of Green Gables: The Continuing Story: This is a 2000 miniseries that follows Anne and Gilbert during World War I, though it departs from the original books source.
Here are some images from adaptations of the series: