Hello PL, you seem like quite a musician!
The Anthology is great, but you have to be wary of it being official*. What this means is, that some of the more personal or controversial footage/stories has been left out.
I suggest buying the Anthology book, which although again is official, has some more information, and some great photography.
Also trying to read some books by people other than the Beatles themselves.
This can also be slightly dodgy, as some of the material may be false, or slightly fictional. You just have to take some of the stuff with a pinch of salt.
Once you have read quite a few books, you will see the structure of a book before you have read it! because the same stories are included.
So, the best thing to do is get reading!
..oh and listen to the music, like always