House Stark
Wardens of the North for eight thousand years. Lord Beron Stark rules from Winterfell in this age, gathering swords to drive Dagon Greyjoy's reavers from the Stony Shore — a war the tourney-goers of the south barely hear of.
The fuller tale
Eight thousand years of Kings of Winter is not a claim the Starks need to defend at tourneys in the south, mostly because nobody down there is paying close enough attention to the North to argue — which suits a house whose whole character runs toward doing the necessary thing quietly rather than the impressive thing loudly. Winterfell's direwolf on plain ice-white has never needed the gilding other great sigils carry.
In this generation Winterfell is held by Lord Beron Stark, and his war is not being fought at any tourney meadow — it is being fought along the Stony Shore, where Dagon Greyjoy's reavers have taken to raiding the western coast with a boldness the North has not had to answer in years. It is a real war, with real dead, and it draws almost no notice at all from the southern lords currently preoccupied with a hedge knight's trial or a dairy lord's wedding.
That gap between southern spectacle and northern survival is, in a sense, the whole Stark position in this era summarized: while three princes and half the Reach's chivalry gather to watch a stableboy get his fingers broken over, the North's lord is trying to keep his coastline from being reaved bare, and would frankly rather the south not notice him at all until he needs their swords.
He gets that need answered, eventually — Lord Beron's call for men against the ironborn is what finally puts Dunk and Egg on the northern road, closing the tales' account with the one great house whose war the era's other dramas never once slowed down for.
The page and the screen
Lord Beron Stark and the Greyjoy raids belong to The Mystery Knight, which no season has yet adapted; House Stark does not appear as a screen presence in the aired Hedge Knight season, which never leaves the Reach and the riverlands.