I hate to keep going on about one movie (but it is my favorite movie), but I hope they to that for Let Me In. I would love to read more details of the events in the movie.
I wish I could read one of the Witches of Eastwick. I read the book after getting into the movie and it was so incredibly different.
For the 1962 film FIVE WEEKS IN A BALLOON Gardner Fox did the novelization of the film based on the novel by Jules Verne.
There was a novelization of the Winona Ryder film of Little Women. That puzzled me…
There Will Be Blood would be a good candidate for “renovelization”. The film was based on Oil! by Upton Sinclair, but apparently the screenwriter read only the first 150 pages, and so the rest of the movie is quite a radical departure. In fact, even in the remaining elements of the adaptation, the movie focusses on the oil tycoon, whereas the book is supposedly more about the child.
Rambo started as a novel by David Morrell, which inspired two movies, which inspired Morrell to write a novelization of Rambo: First Blood Part 2 (where Rambo is inexplicably alive, having died at the end of the first novel), and anyway two more Rambo movies came out long afterward. This might be the closest to what you describe.
The Shadow and the Cisco Kid come close to the pattern you describe, but not quite. Also, these both involve comic book/strip treatments as well.
If I recall correctly, the 2001 Planet of the Apes got a novelization, and so did the 2004 I, Robot.
Substitute “theatrical adaptation” for “novelization” and there are at least a couple works that fit the bill: The Producers and Hairspray were originally movies, then got adapted into stage musicals, which in turn got adapted back into movies (that is, the second pair of movies were based on the stage musicals; they weren’t simply reworkings of the original movies).
Some novelizations of Oz movies were written by L. Frank Baum himself. Quoth Wikipedia:
There have been separate novelizations, but I remember seeing both in the library as “movie poster cover” versions of the original novels.
Somewhat similar, when Michael Crichton wrote The Lost World he wrote it as a sequel to the movie version, not the novel version of Jurassic Park.
IIRC, the novel of 2010 also follows from the movie version of 2001, not the novel.
There was a novelization of Jumanji, which was based on a very short story, I think.
I got that at a library sale a few years ago. It’s HB & actually has both the novelization AND the Wells novel.
I also have the Branaugh/Coppola MARY SHELLEY’S FRANKENSTEIN mentioned above as well as the Coppola BRAM STOKER’S DRACULA novelization.
This is the book I received. I see that bookseller is flogging his copy for nearly $230; if that’s anywhere near market value then perhaps I should see if I still have my copy and sell it. 
I was thinking of this, made by Matt Reeves (who did Cloverfield). Had no idea they made this into so many different movies! Why do we need 2 different English language versions?
We don’t and there isn’t. There’s only the one English language version, directed by Reeves and produced by Hammer.
The sentence "Hammer Films producer Simon Oakes has referred to the project as a remake of the film and later not as a remake, but just as “Reeves’ version” made me think there was a Hammer version and a separate Reeves version.
Never mind, ignore me. Must need more coffee.
Jumanji was based on an illustrated children’s book by Chris van Allsburg.
I’ve never seen a hardcover copy. The paperback edition, IIRC, only had the “modern” novelization.
The editions of I, Robot with the movie cover that I saw were simply Asimov’s book. If there was a different novelization based on the screenplay, I never saw it.