The Riverlands really... Seems strange considering the map of westeros.
I'm hoping the north becomes independent. I don't really care about the rest of the south tbh. they're all the same to me. Might be the iron islands since the show has hinted at them being somewhat independent, and the books may come to reflect the same.
Or it could just mean 2 kingdoms have become inhabitable
@Thread Creator i'm thinking you are confusing the books and the shows. There's still a whole bunch of Lannisters and Tyrell left in the books. So many in fact it's easier to link to their wiki pages than to list them.
House Lannister :House Lannister
House Tyrell: House Tyrell
Meanwhile other Houses are much closer to extinction:
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House Baratheon . Shireen is Stannis only offspring and she has greyscale. Though Robert does have a bunch of bastards running around. With Edric Storm a very easy acceptance as new Stormlord. So they may end up good easy enough through Edric. If they don't accept bastards House Baratheon is likely doomed.
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House Arryn: only has sweetrobin, a sickly child ( whom I suspect may actually be Littlefinger's byblow). Next closest thing isn't an 'Arryn' anymore but a Hardyng. In my opinion their survival depends on Sansa Stark. It's my guess she will go against Petyr and marry sweetrobin. If sweetrobin is legit she and him will ensure the house survival. If Grrm goes a different way with Sansa my guess is House Arryn is doomed since Harrold seems to good to live and his ******* childrent won't be accepted is my guess.
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House Targaryen: Dany, possible Jon (and he may have ******* status) , Aegon (if not fake, probably a Blackfyre from female descent), Possible Tyrion (if Boaz theory about him being the rapeborn child of Joanna and the mad king holds water). Difficult to say on this one. Toss up depending how bittersweet the ending of the books will be (if we ever get there)
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Greyjoy: Victarion is probably sterile, Theon is probably without his sausage (he may have fathered a ******* on the captain's daughter but i don't see the Ironborn accepting that child as a Greyjoy, he killed his other *******(s) when feeling the need to provide fake corpses for Bran and Rickon. Asha is still childless and her children would need to take up her name instead of the father, Euron has bastards but not legit children and he doesn't seem the type to take a wife. No matter his so-called intention to marry Dany. Plus same goes for his bastards as it does for Theon's. They've entered dangerous territory in my eyes.
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Martell: Has Arianne and Trystane. A bunch of sand snakes as well, and Dorne may accept them easily as legit Martells. Seem safe enough from extinction.
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Tully: There's Edmure and his unborn child. The Blackfish is probably gay and won't father any children. Seem so likely to go extinct, they probably won't.