Keep in mind, this is only what I'd like to happen, not what WILL happen. Also, this is the books I'm talking about, not the show.
Monarchs on the Iron Throne: Aegon Targaryen VI & Daenerys Stormborn
Monarchs in the North: Brandon Stark VI & Meera Reed
Monarchs of the Mountain & Vale: Harrold Hardyng & Sansa Stark
Monarchs of the Iron Islands: Victarion Greyjoy & the dusky woman
Monarchs of the Rock: Tyrion Lannister & Tysha
Monarch of the Reach: Willas Tyrell & Talla Tarly
Monarchs of the Stormlands: Shireen Baratheon & Edric Storm
Monarchs of Dorne: Arianne Martell & Daemon Sand
Monarchs of the Free Folk: Aemon Steelsong & a possible daughter of Sigorn Thenn and Alys Karstark (Eventually)
Small Council of King's Landing:
Hand of the King: Jon Snow
Master of Coin: Tommen Lannister
Master of Laws: Davos Seaworth
Master of Whisperers: Varys
Master of Ships: Theon Greyjoy (I know he's in a bad way, but he's mostly regained his sanity & Ramsey will be dead soon.)
Grand Maester: Samwell
Lord Commander of Kingsguard: Ser Barristan Selmy
Ser Jaime Lannister
Lady Brienne of Tarth
Ser Sandor Clegane
Ser Balon Swann
Ser Loras Tyrell
What will happen:
The Seven Kingdoms will be remade with kings of their own, & the king on the Iron Throne will be High King of Westeros.
Houses Bolton, Frey & Spicer (Excepting those who have committed no treachery e.g. Roslin & Walda) will be stripped of everything they have & executed by their respective liege lords.
Harrenhaal, the Sept of Baelor, the Twins & the Dreadfort will be torn down.
The Faith of the Seven will be rebased in Oldtown.
With the Others destroyed, the Wall will be crumbled & the Free Folk will make peace with the North.
Ser Jorah Mormont will be pardoned by Queen Daenerys & return with a clear conscience to rule Bear Island.
The Valyrian steel ancestral greatswords, Ice, Brightroar, Blackfyre & Dark Sister will be found &, in the case of Ice, reforged.
Gerion Lannister will come home from his successful mission.
Ser Robert Strong will be unmasked & the power that keeps him alive will break.
Cersei Lannister will be stripped of her titles & live as a wealthy woman in the Westerlands, away from Casterly Rock.
Ex - maester Qyburn will be imprisoned indefinitely for his unethical experiments.
Lady Stoneheart will find peace & be laid to rest as all Tullys are.
I repeat, this is what I WANT to happen, not what WILL happen. I realize the only event that sounds even remotely realistic here is that Theon will outlive Ramsay Snow, but I have hope.