As with Dracula, there are far to many films that take inspiration from Shelley's book to every be listed fully. In light of that I am concentrating on films that are more landmarks of the monster's movie career and focus more or less (usually less) on the original story.
While only 16 minutes long, this is the first film adaption of the book and begins the long standing tradition of ignoring most of what was in the original story. The creation of the monster, done by burning a puppet and playing it reverse, is still kind of creepy looking. In the end the creature is touched by the love it's creator feels for his new wife and disappears into a mirror.
This is the best known version on film of the tale. Directed by James Whale and starring Boris Karloff as the creature, it cemented the look of the monster forever in the mind of popular culture. If you combine this film with it's sequel, the Bride of Frankenstein (1935) you could edit together a more complete version of the story but each film stands on it's own as classic examples of Universal Studio's horror films. There was also a third movie, making it a trilogy which was also very well received and successful at the box office. (Son of Frankenstein - 1939)
The Curse of Frankenstein 1957
Hammer studios decided to take on the character, as it would later with Dracula, even to the extent both were played by Christopher Lee. The film was savaged by critics for lack or originality and being depressing and gruesome, but the public loved it enough to warrant a series of Hammer films to be made that featured Doctor Frankenstein and less so his creation.
Frankenstein 1973 (TV film)
Dan Curtis threw his hate into the ring with this TV adaption. It remains fairly close to original text but suffered from a low budget by today's standards and was filmed on video. Not long after it was aired Frankenstien - The True Ttory, a British 2 part production, was shown on NBC and overshadowed Curtis' attempt.
Young Frankenstein 1974
While more a take on the previous films from Universal than the novel, this Mel Brooks parody sets the standard for many film parodies. Even though it's a very funny comedy, the cinematography and music are truly top notch, way above many serious takes on the topic. It's funny and beautiful at the same time.
Mary Shelley's Frankenstein 1994
While following the plot very closely for most of the film, it jumps the shark at the end - pretty much ruining an otherwise strong attempt to finally tell the actual story. Starring and directed by Kenneth Branagh and nicely filmed with a dream cast - including Robert De Niro as the monster and a slew of great supporting actors and actresses. It's a worthy attempt at least and it does introduce us to a very sexy, sweaty Doctor Frankenstein. So 10 points for that.
Frankenstein (miniseries) 2004
This multi-part hallmark adaption of the Shelley gothic novel is perhaps the most loyal to the source material to date. Well received and lauded for it's treatment of the subject, it was later edited to a movie for British audiences.
The list could go on, but in recent years less attempts to be true to the spirit of the novel have been produced in lieu of flicks like I, Frankenstein. The novel's monstrous creation becomes less and less monstrous as time goes on. In far too many versions, the creature just looks like a muscular pretty boy with some scar makeup applied to his face. I think this is shortcut to make the viewer feel compassion for him, but who really feels bad for well built fashion models? Following his arc in the book, anyone would easily feel the horrible position the Doctor has put his creation in by abandoning him to the world. My personal favourite Frankenstein is the book version illustrated by Bernie Wrightson and I wish there was a film version using that as a template.
Oh - there was a ballet which I did not see but I will provide this photo for you to decide for yourself how faithful to Shelley it was.