To pick up where I left off from my post a few days ago, I want to cover a few things that Dan and Dave have shown us through the show that I believe will be confirmed when we get the book.
-Image from https://www.motherjones.com/media/2013/03/hbo-game-thrones-season-3-interview-david-benioff-dan-weiss/
First, I believe Jon's character will be named Aegon. Initially I hated this idea. There is already an Aegon who has a cloudy past. Why would Martin put another character by the same name with a cloudy past. As I did my reread though, I noticed more than a few foreshadowings. I also have an end game theory that gives us a bittersweet ending that he promised. I'll be posting it eventually as well.
-Image from http://gameofthrones.wikia.com/wiki/Jon_Snow
I believe they have shown us the truth about Lyanna and Rhaegar being married. This makes Jon a legitimate child not base born. I don't believe it is an annulment though, I believe it will be a polygamy situation like the original Aegon the conqueror. Show runners just hadn't introduced that aspect, so it would have been hard explaining that away.
-Image from http://gameofthrones.wikia.com/wiki/Abduction_of_Lyanna_Stark
The Battle of the Bastards episode shows that Stannis will actually defeat Ramsay. Even though it's one of the best shot episodes to date, I believe it shows that Stannis wins. Jon is dead at the Wall after receiving the Pink letter. This is before Stannis and Ramsay have fought. Kit Harrington being such a focal point on the show is why they changed a few things to make him be the focus instead of Stannis.
-Image by Ertac Altinoz
Find at https://ertacaltinoz.deviantart.com/
(one of if not the best GoT /asoiaf artists )
I believe they have shown us a relationship of some kind between Dany and Jon. It may not play out the same way, but I believe this shows that there is some kind relationship that will be happen. The running theme here being they won't play out the same but will be a plot point.
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The Wall will come down is another aspect. I don't agree with the how it comes down but there is no doubt in my mind it will come down. I believe it will be caused by a casting of Hammers of the Waters, which I'll lay out in another theory later.
-Image from https://feliche.deviantart.com/
Don't hate me but I believe we will be losing a dragon, and we will lose it in the North. This mirrors Rhaenys getting killed and her dragon dying right after Aegon Conquest. I have a hinge theory that explains why it mirrors and why it will be in the North.
-Image from https://www.inverse.com/amp/article/35582-viserion-death-dragon-has-three-heads-ice-zombie-game-of-thrones
So there are a few of the major themes I thing we have learned from the show that will be revealed later in the books. It's like who think Martin gave them broad strokes to cover, and without the little details, it made the series seem to speed up in the timeline aspect. I could be wrong about all of this, but like to think I have an understanding. Thank you for taking the time t read. Jr's always appreciated.
-Bran