The cup has passed, and you must drink from it, like it or not.

During her formative years, Daenerys Targaryen grew up in exile, had lived experience of poverty and was raised by an abusive and unreliable brother. These tragic past experiences forced her to grow up even before the beginning of the main story, in which she was sold as a sex slave. Consequently, Daenerys is often shown to learn on her own and naturally apply important leadership lessons that the Starks got to learn from mentors, advisors and/or family members (see some of them above). 

Daenerys’s remarkable bravery, maturity, proactivity and self-reliance - which are all the more apparent when her background, character development and hard-earned victories are contrasted with the Starks’ - set her apart as a natural born leader and partly explain why she’s the sole protagonist of ASOIAF who got to surpass the accomplishments of all of her ancestors and to be the only representative of her house in the current timeline.

This we do know: Cregan Stark and Jacaerys Velaryon reached an accord, and signed and sealed the agreement that Grand Maester Munkun calls “the Pact of Ice and Fire” in his True Telling. Like many such pacts, it was to be sealed with a marriage. (Fire & Blood)

"The Pact began four thousand years of friendship between men and children. In time, the First Men even put aside the gods they had brought with them, and took up the worship of the secret gods of the wood. The signing of the Pact ended the Dawn Age, and began the Age of Heroes."

"[...] everything we think we know about the Age of Heroes and the Dawn Age and the Long Night comes from accounts set down by septons thousands of years later. There are archmaesters at the Citadel who question all of it. Those old histories are full of kings who reigned for hundreds of years, and knights riding around a thousand years before there were knights. You know the tales, Brandon the Builder, Symeon Star-Eyes, Night's King…"

"Symeon Star-Eyes," Luwin said as he marked numbers in a book. "When he lost his eyes, he put star sapphires in the empty sockets, or so the singers claim. Bran, that is only a story, like the tales of Florian the Fool. A fable from the Age of Heroes." The maester tsked. "You must put these dreams aside, they will only break your heart."

The mention of dreams reminded him. "I dreamed about the crow again last night. The one with three eyes."

"I swear it by earth and water," said the boy in green.

"I swear it by bronze and iron," his sister said.

"We swear it by ice and fire," they finished together.

Bran groped for words. Was he supposed to swear something back to them? Their oath was not one he had been taught. "May your winters be short and your summers bountiful," he said. That was usually a good thing to say. "Rise. I'm Brandon Stark."

Thousands and thousands of years ago, Brandon the Builder had raised Winterfell, and some said the Wall. Bran knew the story, but it had never been his favorite. Maybe one of the other Brandons had liked that story. Sometimes Nan would talk to him as if he were her Brandon, the baby she had nursed all those years ago, and sometimes she confused him with his uncle Brandon, who was killed by the Mad King before Bran was even born. She had lived so long, Mother had told him once, that all the Brandon Starks had become one person in her head.

"Some maesters say it was some other Brandon, not the Builder, but it's still Brandon's Gift. Thousands of years later, Good Queen Alysanne visited the Wall on her dragon Silverwing, and she thought the Night's Watch was so brave that she had the Old King double the size of their lands, to fifty leagues. So that was the New Gift." [Bran] waved a hand. "Here. All this."

[...]That's a Brandon, the tall one with the dreamy face, he was Brandon the Shipwright, because he loved the sea. His tomb is empty. He tried to sail west across the Sunset Sea and was never seen again. His son was Brandon the Burner, because he put the torch to all his father's ships in grief. There's Rodrik Stark, who won Bear Island in a wrestling match and gave it to the Mormonts. And that's Torrhen Stark, the King Who Knelt. He was the last King in the North and the first Lord of Winterfell, after he yielded to Aegon the Conqueror.

"Why shouldn't we rule ourselves again? It was the dragons we married, and the dragons are all dead!"

[...]

"The King of Winter!" [Maege Mormont] declared, and laid her spiked mace beside the swords. And the river lords were rising too, Blackwood and Bracken and Mallister, houses who had never been ruled from Winterfell, yet Catelyn watched them rise and draw their blades, bending their knees and shouting the old words that had not been heard in the realm for more than three hundred years, since Aegon the Dragon had come to make the Seven Kingdoms one…"

As Daenerys Targaryen rose to her feet, her black hissed, pale smoke venting from its mouth and nostrils. The other two pulled away from her breasts and added their voices to the call, translucent wings unfolding and stirring the air, and for the first time in hundreds of years, the night came alive with the music of dragons.

"Vhagar," Daenerys told him. "Meraxes. And Balerion. Paint the names on their hulls in golden letters three feet high, Arstan. I want every man who sees them to know the dragons are returned."

Bran’s wolf dream and Daenerys’s dragon dream

"I'm sick of carrying him, and I'm sick of all his talk about yielding too. If he could stand up, I'd knock his teeth in. Lommy's no use to anyone. That crying girl's no use either."

"You leave Weasel alone, she's just scared and hungry is all." Arya glanced back, but the girl was not following for once.

- Arya V, ACOK.

Safe. The word made Dany's eyes fill up with tears. "I want to keep you safe." Missandei was only a child. With her, she felt as if she could be a child too. "No one ever kept me safe when I was little. Well, Ser Willem did, but then he died, and Viserys … I want to protect you but … it is so hard. To be strong. I don't always know what I should do. I must know, though. I am all they have. I am the queen … the … the …"

"… mother," whispered Missandei.

- Daenerys II, ADWD.

He sent sweets to Hodor and Old Nan as well, for no reason but he loved them.

- Bran III, ACOK.

When Doreah looked longingly at a fertility charm at a magician's booth, Dany took that too and gave it to the handmaid, thinking that now she should find something for Irri and Jhiqui as well.

- Daenerys VI, AGOT.

"I love you as much as I ever have, my lord. Though I do not relish being played for a fool. If Myrcella weds Trystane Martell, she can scarcely wed Robert Arryn, can she?"

"Not without causing a great scandal," he admitted. "I regret my little ruse, Lord Petyr, but when we spoke, I could not know the Dornishmen would accept my offer."

- Tyrion VI, ACOK.

Ser Jorah Mormont scowled. "You told the sellswords—"

"—that I wanted their answers on the morrow. I made no promises about tonight. The Stormcrows will be arguing about my offer. The Second Sons will be drunk on the wine I gave Mero. And the Yunkai'i believe they have three days. We will take them under cover of this darkness."

- Daenerys IV, ASOS.

The wildlings had taken him for an oathbreaker, but in his heart he was still a man of the Night's Watch, doing the last duty that Qhorin Halfhand had laid on him.

- Jon I, ASOS.

Why do the gods make kings and queens, if not to protect the ones who can't protect themselves?"

- Daenerys III, ASOS.