Square Enix has (quietly) updated their official site with new images of beastmen and the primals they worship. According to the overall Lore:
Eorzea is home to myriad unique races. Among them are the tribes of the beastmen, who are responsible for calling down the god-like beings known as primals. Primals are possessed of terrifying power, and are effectively immortal─they can return from death’s halls no matter how many times they are slain. They are wont to bless their beastman worshippers with spiritual and physical strength, and the city-states deem them a most dire threat.
We are provided with five such primal – beastmen relationships:
Ifrit – The Amalj’aa
Ramuh – The Sylphs
Garuda – The Ixal
Titan – The Kobolds
Leviathan – The Sahagin
Check out the images below, and the official site for some additional lore about the relationships.