Is there anything beyond deep web and dark web?
To the asker: if what you had in mind was something like the "Shadow Web" or "Marianas Web," those aren't real. They're just part of internet folklore.
That being said, a lot of people ask me questions like this, and I think it helps to understand the terminology.
As I've explained on several other answers, the "deep web" is a search engine indexing term. Search engines use programs called "web robots" or "crawlers" to index content, and anything that isn't indexed by these robots is in the "deep web."