And I'm not here referring to some more obscure works of fiction that some film studio decided to make into a movie, creating a much better end result. I'm actually referring to renowned books that are widely considered masterpieces or, at a minimum, are extremely popular.
Let's take Tolkien's works as an example. Many Tolkien fans would consider it outright heresy that the movies did something better than Tolkien himself. However, I think that at least in a few cases they actually did.
For example, in the original The Fellowship of the Ring book, Gandalf has no qualms about touching and handling the One Ring, and he does so pretty casually at the beginning of the book, when he is at Bilbo's home.
In Peter Jackson's movie, however, he clearly doesn't dare to even touch the ring. He avoids direct contact when throwing the ring into the fireplace and then handing it to Frodo. Earlier, when Bilbo had dropped the ring onto the floor, Gandalf comes close to touching it but then stops himself, when he sees a short vision of The Eye.
I think this version fits the situation better: When talking with Bilbo, who is leaving the Shire, he suspects that there's something dangerous about the ring, and later he confirms that it is, indeed, the One Ring. He knows that the ring could affect him and seduce him if he touches it, making it too tempting to take it and guard it himself, and perhaps use it.
Many people have the misconception that Gandalf is one of the most powerful beings in the Tolkien universe. However, that's just that, a misconception. In reality Tolkien wrote him as being somewhat average as a Maia, maybe even perhaps a bit on the weaker side. Definitely much, much weaker than Sauron. Gandalf fears that Sauron's power could be too much for him to resist, so he doesn't dare to even touch the ring.
I think this is a better depiction of the situation than in Tolkien's book.
There's another example, this time in Jackson's first movie of The Hobbit trilogy, where I think the movie does a better job than the original book.
At the beginning of the book, when the dwarves are visiting Bilbo's home, they sing the famous Misty Mountains Cold song. The book describes it as the dwarves taking out all kinds of musical instruments like violins, flutes and percussion instruments, and overall the ambience is jovial. (I don't remember now if the book actually describes them dancing, but it might have.)
The movie, however, has no instruments and the tone of the singing is very solemn and somber, with the dwarves, who earlier were extremely lively and rowdy, now being very serious, still, quiet and somber, singing the song with thought and seriousness.
I really, really like this depiction more. And that's because of how meaningful the song is. It's not just some random song that they just happened to start singing. It means something to them. It's remembering their long lost home, and their longing to reclaim it and restore it to its former glory. The song represents loss, longing, and sadness, and also hope for the future. It's an extremely meaningful and profound song to them. Thus, the solemn mood fits it perfectly.
A lively singing-and-dancing routine with musical instruments would have completely ruined it. It would have absolutely not conveyed the same deep meaning that the song has.
On a completely different franchise, one of the most famous duels in the Harry Potter series happens in The Order of the Phoenix, when Dumbledore fights with Voldemort in the main hall of the Ministry.
In the movie, they are about equally matched, with Dumbledore having the extra handicap that he needs to constantly protect Harry, especially from the stray lightning bolts emanating from Voldemort's spells. Dumbledore succeeds in keeping Voldemort at bay, defending against his attacks, but barely.
In the original book, however, the scene plays completely differently. In the book Dumbledore is essentially an all-powerful god who has no trouble with Voldemort at all. He deflects all of his spells with ease, and Voldemort is no threat to him or to Harry. It's depicted pretty much as a leisurely walk-in-the-park for Dumbledore.
I really like the movie's depiction more. It does not diminish how powerful Dumbledore is, but it elevates Voldemort to the threat that he is actually supposed to be. In other words, the scene depicts him as, indeed, being one of the most powerful wizards who have ever existed, being able to fight on equal level with the likes of Dumbledore (who, besides he himself also being one of the most powerful wizards who have ever lived, is also wielding the Elder Wand to boot.)
It really shows that Voldemort is a credible threat to the entire world, and a villain of epic proportions, not easily defeated by even the strongest of wizards. Just like he should be.
I really think the movie did it better.