Examples of mystical dragon names include Ryujin and Saphira. Ryujin is the Japanese dragon god who is king of the sea, and is also referred to as Rinjin. Saphira is the name of the blue dragon in Christopher Paolini's "Inheritance" trilogy.
Other mystical dragon names include Cadaltine and Nithhogr. Cadaltine is one of the numerous names for the dragon that was King Arthur's seat in Edinburgh. Nithhogr is a Norse dragon that gnaws at the roots of the world tree, Yggdrasil, and consumes the remains of the dead.
Examples of dragon names from famous works of fantasy literature include Ancalagon the Black, Errol, Hasai and Rhaegal. Ancalagon the Black is from J.R.R. Tolkien's "Legendarium." Ancalagon is from "The Lord of the Rings" books, also written by J.R.R. Tolkien. Ancalagon was the greatest winged dragon created by the Dark Lord Melkor, and may have been the largest dragon that ever existed.
Errol is the name of a dragon in Terry Pratchett's "Guards! Guards!" This dragon is small and was given to the Watch of Ankh-Morpork as a mascot. Hasai is from "Steel Dragon," by Michael H. Glen. Hasai is a dragon that has the ability to change size and shift into a human form. It also summons and controls storms and channels lightning.