Daenerys' vision of the dwarves "ravishing" the beautiful woman are a symbol for the five kings metaphorically raping Westeros. In Tyrion's words, a dwarf is no better than a bastard in their father's eyes, so the dwarves raping the woman symbolize illegitimate claims to the throne (like a bastard claiming inheritance belongs to them if trueborn heirs exist like Dany)
The next vision of a man with silver hair and purple eyes playing a silver harp for his newborn son is Rhaegar Targaryen and Elia of Dorne. Rhaegar reveals his motives of having three children and that baby Aegon is Azor Ahai reborn and the Prince that was Promised. Rhaegar says at the end of the vision, "He is the Prince that was Promised, and his is the song of ice and fire." This leads to the belief that Rhaegar wanted a third child but Elia was too weak to bear another, thus leading Rhaegar to kidnap (or entice) Lyanna Stark and impregnating her with Jon Snow.
Next, Daenerys sees a feast of corpses with a man with a wolf's head at the high seat, a wound through his heart. Obviously, the Red Wedding.
Daenerys then sees her childhood home in Braavos (house with the red door). Dany wishes she could simply live there in peace, but her duty lies elsewhere and her lust for Westeros may have grown stronger.
Then, Dany sees a man resembling Viserys saying "Let Robert be the king of ashes..." continuously. The man is Aerys II, the Mad King.
Dany is then shown several visions in rapid succession:
A flash of a stunted white lion in grass too tall for it. This is presumed to be Tyrion coming to Dany.
Rhaego, living and destroying cities with a banner of a winged stallion.
Viserys in molten gold.
Rhaegar's death.
Stannis holding a flaming sword, but casting no shadow. Many believe this to imply Stannis has sold himself, body and soul to R'hllor.
A cloth dragon on poles, being destroyed by a hero. The Mummer's Dragon vision is one of the most highly debated and controversial topic of the entire series. Many believe the mummer's dragon to mean a disguise or a fake dragon, meaning Aegon is false (a Blackfyre). Another theory is that Daenerys herself is the mummer's dragon meant to be fought be a hero (Aegon) and seen in a similar light as Stannis.
A winged stone dragon breaking free from a tower.
Dany's silver sprinting underneath the stars.
A corpse with bright eyes and gray lips smiling sadly on the prow of a ship. This has been believed to be Victarion, after attempting to take Dany's dragons. He will smile sadly knowing he has done what Euron could not: Steal dragons.
A line of copper-skinned naked crones leaving a lake and bowing before Dany. This is part of another largely supported theory that Daenerys is the Stallion that Mounts the World.
Lastly, I'd like to point out Quaithe's words to Daenerys in Dance:
"The glass candles are burning. Soon comes the pale mare, and after her the others. Kraken and dark flame, lion and griffin, the sun's son and themummer's dragon. Trust none of them. Remember the Undying.[3] Beware the perfumed seneschal.[4]
Soon comes the pale mare: The man who rode into Dany's freedmen encampment was carrying a viral disease that spread quickly, giving everybody the runs.
And after her the others: Many believe the Others are massing at the Wall at this time, now that the bloody flux has run its course (mostly).
Kraken and Dark Flame: Victarion and Moqorro
Lion and Griffin: Tyrion and Jon Connington but JonCon hadn't left Essos then
The sun's son: Quentyn Martell
The mummer's dragon: Aegon
Trust none of them. This point causes many to think that they will hinder her.
Lastly, beware the perfumed seneschal: We are unsure if that means Varys/Illyrio, Reznak mo Reznak or Galazza Galare, the Green Grace. I believe Varys and Illyrio are the true perfumed seneschal and will attempt to make amends with Dany and marry her to Aegon (commonly referred to as Faegon, teehee).
