Since the a lot of the names of this xpac's relic armor is the empyrean armor from ffxi, my guess is the weapons will be the empyrean weapons as well

So we would get

Fist - Verethragna
1h Sword - Almace
2h Sword - Caladbolg
Great Axe - Ukonvasara
Polearm - Rhongomiant
Ninja Blade - Kannagi
Whm staff - Gambanteinn
Blm Staff - Hvergelmir
Gun - Armageddon
Ranger - Gandiva