Ifrit: Primal of the Amalj'aa.
Garuda: Primal of the Ixal.
Titan: Primal of the Kobolds.
Leviathan: Primal of the Sahagin.
Good King Moggle Mog XII: Primal of the Moogles.
Ramuh: Primal of the Sylphs.
Shiva: A confirmed primal of an unknown Beastkin to the north. All that is known is they are very large and have an icy demeanor.
Odin: described as a roaming Elder Primal.
Bahamut: primal of the Dragons; Bahamut used to be incarcerated inside Dalamud.

Midgardsormr was killed in the Battle of Silvertear Skies and its seal on the aether beneath Silvertear Lake was broken.

Out of all the beast tribes, Goblins and Qiqirn are the only ones whose primals are currently unknow