The anime and manga views allow you manage your anime or manga lists. Here are the functionalities described above.
Sort: Allows you to sort your library by title, score, progress, or total episodes/chapters/volumes.
Change Lists: Allows you to switch between lists and custom lists, if any.
Title Filter: Allows you to filter the list by a search term.
List Entry: The entry in your library showing your progress, score and airing/publishing status.