Definitely loving the music, and the gameplay itself is fairly basic and easy to pick up while still giving you a lot of choices. A single player story or challenge mode would be nice to see later on, if work is still being done here. Maybe something like old fighting games, where you go down the list against each of the other characters.
While we don't want to wander into Lamarckian genetics, being able to improve existing dragon stats to keep up with the constant growth of the strength of the towns people (while leaving the base, breeding stats alone and with their own displayed values) might go a long way towards improving survivability later on, and if you have any control over that growth (say, in terms of potential points that you choose to spend), it would give a lot more control to the player. I think a lot of people might well be frustrated over how you're basically rolling two dice over and over again with almost no player input.
Adding more ways for the player to influence the dragons will be a high priority for the next version.