I'm sure I'm not the only person on here that finds it tedious to have to click-click-click until we get to the correct species we want to breed. So, here's an idea (if it hasn't been suggested already [which it probably has, but w/e]):

Main Filters List: Dragon, Unicorn, Gryphon, Throdama, Etoile, etc.

Subfilters List: [Specific Trait], [Color], [Genetic Power Level], etc.

<shrugs> I just thought this might be a nice tool to implement, but I can understand why it might not be.

Are you referring to the Breeding Offers listings? Just hit the green plus sign next to the search bar, and you'll get a dropdown menu that allows you to filter by all of those traits and then some. (It does take a while to sort because there's so many listings, though, and that's kind of a pain.)