My only real problem with this adaptation is that so much of Edmond's motivation is left out until the last six or so episodes, by which point they're just trying to cram it in and it doesn't really come across.
The original work spends as much time in Marseilles and the Chateau d'if as it does in Paris.
Among other things, this version doesn't even go into how Edmond Dantes became the Count of Monte Cristo. The scenes regarding the eventual fate of Morell and Sons would have made a nice addition as well as Maximilian recognizing the name of the Count's bank (for good reason, though I don't want to spoil the book.)
There are just so many layers in the book that didn't fit into this series. And that's no criticism, the unabridged edition of the book is usually split into three volumes, and most abridged editions are still 800 page tomes. I'm surprised they fit as much as they did into 24 half-hours of anime.
I'm just saying, if you like the series, go read the book, it's mind blowing.