I'm not super familiar with The Count of Monte Cristo. I have it on my bookshelf. It hasn't been read. I also haven't seen the movie. Is there more than one? No idea. Most of my experience comes from the musical that I saw when it was performed at my university. But I saw it twice. Once because I had to as a theatre major and once because one of my dorm mates loves the book. And I liked it well enough that I bought the concept CD. It doesn't have my favorite song from the musical on there but can't have everything.
This was also years ago.
But I can never pass up a good old fashioned revenge story.
Not a whole lot of worldbuilding going on in the story. But the characters are solid and the plot is pretty tight so I'm okay with the worldbuilding being not as impressive. Honestly, I kept forgetting that this wasn't taking place on Earth.
There were some variations from what I remember of the plot of CoMC. Which is fine. Adaptation. I thought the changes worked well. The one caused an eyebrow twitch of respect, though that also meant my gut instinct was right on the money about other things.
I appreciated the way the two major plotlines intersected and then ran parallel to each other. I thought that was well done. The intersections of the subplots were also well done. I also enjoyed how the reveals unraveled. I wasn't super surprised by most of them, although one did make me screech at my friend "THIS IS GUARDIANS OF THE GALAXY 2". It's really not. Only one teeny aspect was.
The two main characters, Amaya and Cayo, I really liked. I'd even say I love them. Not in a "I would kill for you" way but I did feel a lot of things during the course of reading that. Including an acknowledgement of how easy I am when you have a character caught between love of family and doing the right thing. I'm so easy. So easy. 
The other characters, I liked. There were a couple I didn't. But as we all know, it takes a lot for me to not like a character. Again. I'm easy.