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Here you can find a list of all the dragons, listed according to their rarity in the cave and the frequency of finding them in the AP. Note that the rarity of dragons can change over time, and the rarities listed here are only the frequency at this time. There is also a list at the bottom for unobtainables and dragons you cannot obtain at the moment (they have their rarity value stated next to their name instead).
Extremely Common
Gray Dragon
Terrae Dragon
Whiptail Dragon Dorsal Dragon (Purple)
Very Common
Common
Skywing Dragon
Sunrise Dragon
Sunset Dragon
Water Dragons
Bright-breasted Wyvern Daydream Dragon Deep Sea Dragon
Uncommon
Day Glory Drakes
Ember dragons
Gold-horned Tangar Dragon
Harvest dragons
Night Glory Drakes
Ridgewing Dragon
Shallow Water Dragons
Swallowtail Dragons
Vine Dragons
Rare
Two-Headed Dragon
Very Rare
Alternative Black Dragon
Alternative Vine Dragon
Bronze Tinsel Dragon *
Chickens
Gold Tinsel *
Leetle Tree
Silver Dragon
Silver Tinsel Dragon *
Extremely Rare
Neglected Dragon
Unobtainable
Bright Pink Dragon
Frill Dragon
Holiday Dragons (only available at a certain time)
Black Marrow Dragon - Moderately Rare, Halloween
Heartseeker Dragon - Moderately Rare, Valentine's Day
Holly Dragon - Extremely Rare, Christmas
Pumpkin Dragon - Moderately Rare, Halloween
Ribbon Dancer - Very common at Christmas, particularly towards the end of Christmas
Rosebud Dragon - Moderately Rare, Valentine's Day
Snow Angel Dragon - Very common at Christmas, particularly towards the end of Christmas
Sweetling - Moderately Rare, Valentine's Day
Valentine Dragon - Moderately Rare, Valentine's Day
Vampire Dragon - Uncommon, Halloween, obtainable all year
Winter Magi Dragon - Will be very common at Christmas, particularly towards the end of Christmas
Yulebuck - Fairly common at Christmas, particularly towards the end of Christmas
- 'Rarity' in these cases depend heavily on the perceived shortness and quality of the lineage