The best way to view the "cutting floor" stories of the Godfather is to read the novel. I know its quite long, but i truely loved reading it and im sure you will too. It goes into great depth of Michael in Sicily, Jonny Fontaine in Vegas, Don Vito as a child, as well as the untold background of many characters like Genco, Bonesara, and Woltz.
The book starts off as Bonesara is in court rather than him talking to the Don. Also, the novel is broken up into 8 books, or stories. (Puzo does that in lots of his books) They are not in chronological order, but the content of each book is. Its a better way to understand the Godfather stories; it helped me out a lot

Bart, Is it wrong to steal a loaf of bread to feed your starving family? No. Well suppose you got a large starving family, is it wrong to steal a truckload of bread to feed them? Uh-uh. And what if your family don't like bread, they like cigarettes? I guess thats ok. Now what if instead of giving them away, you sold them at a price that was practically giving them away. Would that be a crime Bart?