Currently listening to Hardcore Game of Thrones
. It's nothing short of amazing and makes me want to read all the books right now (but I will wait).
Anyway, some random insights:
Aegon Targaryen conquered Westeros with three dragons. Sound familiar? I imagined he had a fleet of them, but nope, just three. With those dragons, he was able to instantly immolate entire battlefields of soldiers, or burn everything inside a castle and essentially melt the stone. Nuclear weapons are an apt comparison. I suspect we haven't seen in the show how powerful Dany's dragons actually are... not even close.
A dragon apparently bonds strongly with one person and won't let anyone else ride it. So the prospect of Tyrion riding a dragon (or Bran warging into one) seems unlikely. But I suppose the rules could be shifting.
Tyrion heritage conspiracy corner! In addition to the evidence I've already brought up ("you're no son of mine" etc.), the timeline is very interesting. Around the time that Aerys Targaryen (the mad king) becomes increasingly interested in Tywin's wife Joanna (in a very creepy and very public way), she gets pregnant with Tyrion. When Tyrion is born, Tywin is devastated, and Aerys is delighted by his suffering.
Aerys later appoints Jaime to the king's guard, which forces him to renounce his title and claims to his family's inheritance. Therefore, Tyrion becomes the new heir to House Lannister. This was done to twist the knife in poor Tywin, but was it also done to essentially corrupt House Lannister with Targaryen blood forever? Seems like a decent possibility.
Not sure this has much practical significance, but it's interesting: Tyrion would actually be the oldest Targaryen. Rhaegar is dead. Tyrion was born before Viserys (who is dead anyway), Daenerys, and Jon (who is Daenerys's nephew).