Heartsbane, the ancestral two-handed greatsword of House Tarly, currently in the possession of House Tyrell, inside the vaults of Highgarden.  Obtained from House Tarly to pay off its debt to Lady Beatris Tarly.  

Lady Forlorn, the ancestral sword of House Corbray, currently in the possession of Lord Lyonel Corbay.

Longclaw, the ancestral Valyrian steel bastard sword of House Mormont. Currently in the possession of Lord Bolton, whose ancestor purchased it from the Commander of the Night's Watch Bylon Greyjoy. 

Nightfall, the ancestral blade of House Harlaw and currently wielded by Lord Harlaw.

Oathkeeper, one of two Valyrian blades reforged by Tobho Mott from Ice. The blade was made for Ser Jaime Lannister, but it was given to Brienne of Tarth for use in her quest to locate Sansa Stark. The blade now resides on Tarth in the hands of Lord Tarth.

Red Rain, the sword of House Drumm, which was stolen by them in a raid. Given the name and coloring, it is possibly the ancestral sword of House Reyne. Currently held by House Drumm. 

Widow's Wail, one of two Valyrian blades reforged by Tobho Mott from Ice.  Following Joffrey Baratheon's death, ownership of Widow's Wail passed to his younger brother, Tommen. After the war and Daenerys arrival, Widow's Wail was returned to House Stark and refashioned into Solemn. 

The dagger with dragonbone hilt wielded by Bran Stark's failed assassin, and formerly in the possession of Petyr Baelish. Its whereabouts are currently unknown. 

Valyrian steel arakh owned by Caggo.  Currently held by Khal Kago. 

Valyrian steel axe reputedly possessed by House Celtigar.  Held by Lord Celitgar. 

Blackfyre, the sword of Aegon I Targaryen. Carried by all Targaryen kings until Aegon IV, who gave it to his bastard Daemon Blackfyre, who rose in rebellion against the Targaryens, taking the sword's name for his house. Aegon VI Targaryen was given it and wielded it during the war, the sword currently belongs to King Aeron Targaryen. 

Brightroar, the ancestral sword of House Lannister, lost when King Tommen II Lannister of the Rock sailed to Valyria and never returned.  It was recently discovered by Greyjoy privateers who were assailing Essosian ships.  Lord Greyjoy has it in his possession, waiting for such a time where it can be used to his advantage.

Dark Sister, the sword wielded by Visenya Targaryen.  It was found in the vaults of one of the forts of The Wall and sold back to House Targaryen.  It is currently in the vaults of the Red Keep.

Lamentation, the ancestral sword of House Royce, lost in the Storming of the Dragonpit. Was discovered that Hobb the Hewer's family had possession of it for centuries and passed it down from one Hewer to the next right inside King's Landing, beneath everyone's nose. The sword was claimed by the Crown and vaulted and almost nearly forgotten about.  Queen Aeda gave it to Aerion Targaryen, who fell outside Hellholt to a poison spear.  Lamentation was claimed by Ezel Sands who awarded to Ian Blackmont who Nercissa Martell had trusted to watch over Nymeria.

Orphan-Maker, the ancestral sword of House Roxton.  Its last known owner was Ser Jon Roxton.  The sword has passed from owner to owner with a mostly unknown history.  Edgar "the Strangler" Tully now has possession of it, claiming to have been shown the sword's location by the Crone in a dream.

Truth (renamed to Debt Payer), a Valyrian steel sword last carried by Moredo Rogare of Lys.  Purchased from a trader, who acquired it by some unknown means -- Truth was refashioned and renamed into Debt Payer by Ser Tyrius Lannister.  The sword is currently held by Macen Lannister.

Vigilance, the ancestral sword of House Hightower.  It is currently in Lord Hightower's possession.