As you all know, Dragons are kind of like the main character and driving force in House of the Dragon.
Descendants of Valyria (Targaryens and Velaryons) have dragons.
1. Caraxes a.k.a The Blood Wyrm
2. Vhagar
Vhagar is ridden by Prince Aemond Targaryen a.k.a Aemond "One Eye".
It is the oldest and largest living dragon (disputed) at the time of Dance of the Dragons. It's more than 180 years old.
3. Sunfyre
4. Syrax
5. Vermax
Vermax is ridden by Prince Jacaerys Velaryon.
It's named after ancient Valyrian Gods.
6. Seasmoke
7. Meleys a.k.a The Red Queen
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Meleys is ridden by Princess Rhaenys Targaryen a.k.a The Queen Who Never Was.
It's the fastest dragon alive during the Dance. It's older and larger than Caraxes.
8. Arrax
Arrax was ridden by Prince Lucerys Velaryon.
It's one of the youngest and smallest dragons alive during the Dance.
9. Dreamfyre
There are more dragons which will be introduced in future.... Can't wait for Vermithor, The Cannibal, Sheepstealer etc.