We seem to have expanded to include figures both fictional and historical.
My take, for what it is worth:
Lawful Good: Superman, Batman (as The Greatest Detective), King Arthur, Sam Gamgee, Faramir, Aragorn, Captain America, Alia of the Knife, Socrates, Beowulf, Decartes, St. Augustine, Spock, Jean-Luc Picard
Neutral Good: Jean Valjean, Gandalf, Frodo Baggins, Yoda, Ghandi, Mother Teresa, Budda, Jesus Christ
Chaotic Good: Bilbo Baggins, Robin Hood, Batman (as The Dark Knight), Peregrin Took, Spider Man, Qui-Gon Jin, Obi-Wan Kenobi, Anakin Skywalker, Joan of Arc, Luke Skywalker, Han Solo, Lady Jessica, James Kirk
Lawful Neutral: Javert, Judge Dredd (Note that Dredd's chaoticness is the result of upholding a code derived from a chaotic society), the Vorlons, Duke Atreides, Paul Atreides, Confucius, Aristotle, James Bond, Hari Seldon, General Lee, Erwin Rommel
Neutral: Merlin, Romeo, Juliet, Odyseus; Few heroic figures are truly 'neutral' since most works of literature are to some extent about philosophical conflict and heroes are by definition exmplararies of some belief system - even one of nonbelief. To find neutral fictional characters (in modern Western literature in particular), we probably need to turn primarily to non-heroic figures.
Chaotic Neutral: Conan the Barbarian, Hamlet, Cthulu, Camus, the Count of Monte Cristo, General Armstrong Custer
Lawful Evil: Darth Vadar, Macbeth and Lady Macbeth (prior to to the murder), the Riddler, Sauron, Joseph Goebbels,
Neutral Evil: Emperor Palpatine, Morgoth, Satan, Hannibal Lecter, Vlad von Tepes, Heinrich Himmler
Chaotic Evil: Lex Luthor, Hitler, Morgan Le Fae, Macbeth and Lady Macbeth (after the murder), the Shadows, the Joker, Saruman, Baron Harkonnen, Darth Maul, Herman Goring