As a fan of the show, i thought this past season was spectacular, my favorite so far. I can't wait for the rest of the seasons to play out. I have never read the books so i have no notions on how the show will go. If i had to write an outcome, it would include the following:
No singular ruler. They don't survive lately and i doubt anyone (including Dany and those dragons) are strong enough to take and keep the throne. I think a unifying of the realm involving key members from various families works. Dany, Tyrion, Bran, Edric (i know he is a bastard but if Dany can free slaves, she can give standing to bastards), and Asha Greyjoy.
The dragons all die during various battles
Arya becomes an Assassin and protector to the realm
Jaime Lannister lives and gets together with the she-hulk
Cersei, Joffrey, and Tywin all die
Theon dies (quickly please)
Sansa dies (she's weak and stupid)
The hound lives
Stannis dies at the hand of the red witch who in turn is murdered by Davos
White walkers are defeated (but not totally eliminated) and the "Wizard" becomes the new leader of the Knight's Watch, while John Snow stays on as the main fighter
Bolton and Frey both die, hopefully slowly and they don't see it coming
Littlefinger lives but is put in his place
While i'm sure most of this will not happen, it's fun to think about.