Books about dragons

Dragons that shape the story, not ones sketched on a map or mentioned in passing. Here they fly into battle, bargain with heroes, hatch from eggs someone must protect, or rule as powers older than any kingdom. The range runs from A Storm of Swords, where Daenerys's dragons change the war, to the Hungarian Horntail of Harry Potter and the Goblet of Fire and the beasts of Will Wight's Cradle series.