It would be awesome if they would introduce a feature that would help you find the animal you are looking for. One of my other games has that feature, and it's awesome. It would also be cool if we could keep eggs, because some of them are pretty, but of course there is no place to display them anyway.
Anyway, so since I already have Lemurcury and the other one, can I begin now to breed for Caturn, or will it not work until that goal pops up specifically?