You might also distinguish according to the type of publication: books, articles, entries in reference works, notes, ... See the attached page from the introduction to the "Biographical Index of Astronomy" (2nd ed., https://www.researchgate.net/publication/320130779), where much more types of biographical sources are listed. For the complete introduction and the long list of sources used, see https://www.researchgate.net/publication/320152207. For a sample page, see https://www.researchgate.net/publication/320153110.
Today the face of literature has changed because of the modern approach. Writers are not limited to writing; rather literature has taken the shape of cinema, television shows, and documentaries. Many biographies and autobiographies have been made into films. Here I shall stick to conventional Biography/Autobiography to stick to the term ‘-graphy’ an Anglicization of the suffix ‘-graphy’ directly borrowed from transliterated Greek to Latin (graphia) and French graphie. Therefore the face of change in Biography or autobiography will encompass the written form only.
Biography is something written on anyone, be it an in animated object or an ant. Therefore it generally covers the gamut of life lead by the writer. A biography may be fictitious and factitious. The biography of a book or a tree or a street dog, will definitely not portray genuine facts, thereby relies on the writer, his or her innovative pen, and experiences. As far as a wide range of studies is concerned biography may cover many a genre. It will be unwise to keep a biography under certain nomenclatures. In my opinion, the biography may be of the following categories:
Historical Fictional Biography (“The Intimate World of Abraham Lincoln” by C.A. Tripp/ “Decision Points” by George W. Bush)
Academic Biography (“John Wycliffe: Myth and Reality” by G.R. Evans/ “Mother Teresa” (1986) documentary by Ann & Jeanette Petrie)
Fictionalized Academic Biographies (“American Caesar: Douglas MacArthur 1880–1964” by William Manchester “East to the Dawn: The Life of Amelia Earhart” by Susan Butler)
Prophetic Biography: “The Story of My Experiments with Truth” Autobiography by Mohandas Karamchand Gandhi)
“Autobiography of a Yogi” by Paramahansa Yogananda/ Sri Ramkrishna Kathamrita by Sri M (M stands for Sri Mahendranath Gupta)
Biography can also be categorized under the following categories also:-
Popular biography—A Passage to England by Nirod. C.Chowdhury/Wings of Fire APJ Abdul Kalam with Arun Tiwari.
Literary biography: Illustrates and accounts for the literary genre that merges historical facts with the conventions of narrative while revealing how the biographical context can enrich the study of canonical authors. Examples: Jane Austen: A Life, Claire Tomalin, Sylvia Plath: A Biography by Linda W. Wagner-Martin, Dostoevsky: A Writer in His Time, Joseph Frank.
Reference Biography: Biographical reference sources provide information about people who are or were well-known: their birth and death dates and descriptions of their lives and accomplishments. Examples: Basically used for academic purposes, like Encyclopaedia
Fictional biography: Written on a fictional character by an author, or a real character can be virtually placed in a fictional place, but the characters are real. Like Augustus Carp, Esq., By Himself, or Christianopolis by Johann Valentin Andreae of the 17th century.
Special Purpose Biography: This category involves vilifying or for scandalous purposes. This type of Biography is a potboiler presented “as told to like” (Nathaniel Hawthorne’s Life of Franklin Pierce [1852). The opposite of this type of Biography is called Hagiography, in vogue in the Victorian period.
Informal biography: It includes a series of letters, diaries, journals—may or may not have detailed story involved in one’s life as the writing may be interrupted by time, illness, etc.
Memoir and reminiscences: They are also biography but the basic difference is that the purpose of reading. Memoirs and reminiscences are read to remember the activities rather than who is remembering.
Specialized forms of biography: Found under Thematic, Religious, and Intellectual, and Fictionalized, heads. Hitler’s Mein Kampf (1924) comes under specialized forms.