Well, if there was a Chocobo Breeder Class, there would be way more Chocos than adventurers to ride them so be prepared for the consequences:

Hot Chocobo Wings: ACC +5

Chocobo Cordon Blue: INT +5

Lemon Glazed Choco Breast: VIT +5

Konachi Fried Chocobo: STR +5

Would probably help Culinarians tremendously with sought after Meals plus they can sell all the Colored Feathers to crafters for Magic Arrows (...You have learned Chocobo Plucking technique).