Ok, I kinda went a little crazy with this and probably all of the gear is op. But mainly it was for names and looks. But this is the gear would get from dungeons in the third arc so maybe it's acceptable. This would be equivalent present day darkmoor gear, only every school's gear has a unique look. So here I go (try to have fun with it)
Borealis Set (thick armor made of silver and hardened ice, with a sword made of ice) Borealis' Helm of Never-Ending Winter Borealis' Armor of Sheer Cold Borealis' Boots of Unrelenting Chills Borealis' Glacial Blade of Polar Frost
Dragon-Born's Set (red armor with a dragon-like helmet (close to the dragonspyre one only it completely covers your face) and a sword made of fire) Dragon-Born's Helm of Eternal Flames Dragon-Born's Armor of Boiling Embers Dragon-Born's Boots of Unbearable Heat Dragon-Born's Flaming Smiter of Blazing Fury
Pan Long Set (purple, silver and gold. Has a spear with a head made of lightning) Pan Long's Helm of Intense Thunder Pan Long's Armor of Relentless Whirlwinds Pan Long's Boots of Rampant Sparks Pan Long's Lightning Spear of Many Storms
Fate's Set (orangish/beige armor. Has a hood and a mask over eyes like judgment. Along with its sword, it also carries the balance thing that judgment also has) Fate's Helm of True Equilibrium Fate's Armor of Retribution Fate's Boots of Otherworldly Judgment Fate's Corresponding Sword of the Fifty-Fifty
Pax's Set (looks like it is made of leaves and trees. Has a huge huge, wooden staff with a glowing, green orb on top) Pax's Helm of Abounding Nourishment Pax's Armor of Mother Nature Pax's Boots of Perfect Harmony Pax's Staff of the Guardian Orb
Styx Set (black armor made of bone. Has a skull helmet, bony shoulder and chest-plates. Their weapon is a club made of a bone handle and a bunch of mini skulls making the club part) Styx Helm of Screaming Souls Styx Armor of the Abyss Styx Boots of Perpetual Terror Styx Skullen Club of Aching Misery
Wondrous Set (golden armor and golden sword. The helmet is completely enclosed, however a magical eye floats around the helmet, acting as a guide for the wizard) Wondrous Helm of the One Eye Wondrous Armor of Abundant Mystery Wondrous Boots of Legendary Splendor Wondrous Balisword of Enduring Courage
Wanderer's Set (it is gray armor, with a cape. They have a gray hood that hides their face from others. They hold two, silver swords that they keep on their backs when not in use) This set is universal, meaning all schools can use it Wanderer's Helm of Noble Divinity Wanderer's Armor of Crossroads Wanderer's Boots of the Cunning Wanderer's Silver Swords of the Double-Cross
Here's the names, if you're interested in stats, they're below. Remember, they may be op.