Stark: Rickon will be in charge with Manderly and other Northern lords pulling the strings. Sansa will be in Winterfell also.
Lannister: Tyrion! Long live the dwarf! I think he'll find a way to take over Casterly Rock somehow.
Tyrell: I think Mace will be dead, so Willas I guess.
Martell: Doran doesn't have much time left it seems to me, with bad health and all, so Arianne. (I originally said Tristane with Arianne pulling the strings, but forgot that women can rule in Dorne.)
Arryn: Robert's a goner. Littlefinger's the king of manipulation, but I think Manderly will beat him in the quest for the north. He seems like quite the game player himself. So Arryn house doesn't make it, IMHO.
Targaryen: Might not sound popular, but I think this house will be gone. Too few left and Dany has too many enemies. She and her dragons will help defeat the Others, I think, though, before she dies.
Baratheon: I like Stannis, but I just don't see him making it through the series. Could he leave everything to Davos in a will? He would if he could. Otherwise, I think this house dies.
Frey: All the main ones will be dead with UnCat and Manderly after them. There are so many of them, though. I think Blackfish and Edmure beat what's left of them and take over the crossing, though there will be some Frey alive somewhere to keep the house going.
Tully: Blackfish saves Edmure and returns him to Riverrun. So Edmure.
Bolton: Dead dead dead. The North remembers.
Greyjoy: Theon most likely, with Asha to help, even though I wish someone would kill him and put him out of his misery.
Night's Watch (not a house, but equally important): I think they'll be disbanded after the Others are finally defeated. Jon will sacrifice himself in this battle after warging himself back.
Wildlings: They'll merge with the north. The wall will fall. The Others will be defeated.
Edited by ledlevee, 06 February 2012 - 10:25 AM.