There are two final sets - Anemos Armor and Elemental Armor. Anemos Armor has no use except as glamour. However, final-stage Elemental Armor is partially best-in-slot for Eureka Content due to its Elemental Bonus.
Note: "Eureka Artifact Armor" is an unofficial term. The game calls these armor without the "Antiquated" prefix, e.g., Antiquated Duelist's -> Duelist's -> Duelist's +1 and so on.
Elemental Armor is a standalone armor series. Its +1 version has changed colors and has added glowing light effects. +2 version is visually the same as +1 but has an added Elemental Bonus stat. All 3 versions are dyeable.
Every job has its own armor set and there is 5 stages of the armor. The first step is to acquire Antiquated Artifact Armor by completing a level 70 Job Quest. If you have discarded your gear, it can be received again for a small Gil fee from a Calamity Salvager.
Elemental Armor is completely separated from Anemos Armor, therefore these sets can be acquired individually without having to have the previous armor sets. However, you do need to acquire at least one Elemental Weapon before the vendor will appear. Unlike with the Artifact and Anemos Armor sets, there is not an exclusive armor set for each job, but role-specific sets (e.g., fending, maiming, etc.)
Visually identical to Elemental Armor +1 and has same item level and stats. The only difference is added Elemental Bonus stat, which makes them stronger in Eureka duties only.
The Elemental +2 chest armor is not best-in-slot in Eureka. Kirin's Osode Armor / Vermillion Cloaks are stronger than the Elemental Armor +2 chest armor in Eureka due to the extra Haste bonus and materia melds being active, while having an identical Elemental Bonus.
The Elemental +2 head, hands, legs, and feet armor are best-in-slot for Disciples of War in Eureka. The hands, legs, and feet armor are best-in-slot for Disciples of Magic because their Vermillion Cloak chest armor occupies both the head and chest slots.
Total for one final set
Total for all sets
x200
x190
x133
x56
x1400
x1330
x931
x56
Total for one DoW final set (minus chest)
Total for one DoM final set (minus chest and head)
This armor uses same model as basic Elemental Armor, but it is recolored with an added glowing light effect. This step may take longer, because Hydatos Crystals drop in lower quantities compared to Pyros Crystals.
Kirin's Osode Armor remains stronger than the Elemental Armor +2 chest gear in Eureka due to the extra Haste bonus and matching the item level sync of Eureka, allowing materia melds to be active. While Elemental Armor +2 has a higher item level, it will still be synced down to IL 300, the same as Kirin's Osode Armor, while losing materia melds.
The Forbidden Land, Eureka Anemos. The second Eurekan armor set, Elemental Armor, can be acquired from 
Protean Crystals.
Anemos Crystals.
Pyros Crystals acquired from The Forbidden Land, Eureka Pyros.
Hydatos Crystals acquired from The Forbidden Land, Eureka Hydatos.
Eureka Fragments acquired from The Baldesion Arsenal. This armor is sometimes also called Physeos armor.
Gil fee from a Calamity Salvager.
Allagan Tomestones of Poetics.
Fending front
Maiming front
Striking front
Scouting front
Aiming front
Casting front
Healing front
Fending front
Maiming front
Striking front
Scouting front
Aiming front
Casting front
Healing front
