This Kenneth Brannagh film has one important distinction from most (nearly all) other Shakespeare film adatpations: it includes the entirety of the original text, making the full version last 242 minutes. There is also a cut version at 150 minutes.
This popular Disney animated film takes several elements from Shakespeare's Hamlet: the king murdered by his brother, the son who seeks revenge, the ghost of the king coming to see his son. No crazy Ophelia drowning, though.
Another Laurience Olivier film, using the on-screen title of "The Chronicle History of King Henry the Fift with His Battell Fought at Agincourt in France". Released during World War II, just in time for the Allied invasion of Normandy, the film was used as propaganda and moral boosting for British troops. The original text was modified accordingly.
A Joseph L. Mankiewicz, with, among others, Marlon Brando as Mark Antony. The film received several awards, and even granted Marlon Brando his third Best Actor nomination at the Academy Awards in three consecutive years.
Film directed by Jean-Luc Godard, and poorly received by critics. It is not a direct adaptation, but rather a film in a modern setting, with a descendant of Shakespeare attempting to restore his ancestor's plays.
A film by Roman Polanski, his first after the brutal murder of his wife. The story, co-written with Kenneth Tynan, takes various liberties from the original text. The film also has the special distinction of being produced, among others, by Hugh Hefner.
The surprisingly recent first full-length sound adaptation of the play of the same title. It is mostly faithful to the original. An important thing to note is that the film features Shylock as much as a victim than as a villain.
A Max Reinhardt, and Olivia de Havilland's first role. The German born director didn't speak English, so his instructions were translated by William Dieterle. The film was banned in Germany at the time because Reinhardt and the film's composer, Felix Mendelssohn, were of Jewish origins.
There have been many, many, many, many adaptations of Shakespeare's works since the dawn of cinema. This list does not only include "by the book" adaptations, in their original time setting or following the dialogue word for word, but also loose adaptations.