The Contenders Are:
[spoiler]
Pretender For the Iron Throne, First of His/Her name, of the Andals, and of the First Men, (titles, titles…)
House Targaryen
Aegon Targaryen (However, believed by most to be a false Targ and the “Mummer’s Dragon”)
Jon Targaryen, (assuming R+L=J and that he was true born, as seems likely)
Danerys Stormborn
Tyrion Waters, (assuming Tyrion is the bastard son of Aerys Targaryen and Joanna Lannister, as seems likely. If declared a true Targ, Aegon is a fake and Jon dies, Tyrion has the best claim to the Iron Throne and would supercede Danerys, as he is both older and male. A better bet is he stays a bastard and will serve as Hand.)
House Baratheon
Tommen Baratheon (current King)
Myrcella Baratheon (Current Queen under Dornish Law)
Stannis Baratheon
Dark Horses for the Iron Throne
Sansa Lannister, nee Stark; Sansa is the only generally known living heir of House Stark, is the heir to the Riverlands should her uncle Edmure Tully die in captivity without issue, and is being set up as the Lady of the Vale depending on whomever she ultimately marries (whether Robin or Harry, he won’t live long). Given that Littlefinger is behind her, she seems – far and away – the most likely dark horse to seize the throne through strength of arms and a marriage to “Aegon” Targaryen. Let’s hear it for Darth Sansa!
Shireen Baratheon: Stannis Baratheon’s only living heir. If Stannis dies and the Usurpation was legal, she currently has the best legal claim to the Iron Throne after Stannis.
Edric Storm: Bastard son of Robert Baratheon and Delena Florent. If recognized as a true Baratheon, his claim to the throne would supercede Stannis’ claim, Shireen’s, as well as Tommen and Mycella’s (as Edric is older than both). The same goes for Gendry, for that matter, but Edric seems a better bet for this darkest of horses.
King in the North
Jon Stark, declared to be a trueborn Stark and not a bastard, named Heir to Robb Stark before his Lords Bannermen
Brandon Stark (presumed dead until recently)
Rickon Stark (presumed dead until recently)
Sansa Lannister, nee Stark and
Arya Stark (presumed dead)
Dark Horse for the King of Winter
The child of King Robb Stark and Queen Jeyne Stark, nee Westerling. While Lady Sybil Westerling assures Ser Jaime that Jeyne has been given moontea and is not pregnant, the descriptions for Jeyne given by Jaime and Catelyn do not match, especially with regard to the width of her hips. If the real Queen Jeyne escaped and is with the Blackfish, and she was pregnant, her child has the best claim to be the King in the North after Jon Stark, who was proclaimed by King Robb to be his lawful heir in a signed document signed and witnessed by all his Lords Bannermen.[/spoiler]