Galadhrim Elves also wear lighter cloaks, you might be looking for those.
|“||Beside it a broad white ladder stood, and at its foot three Elves were seated. They sprang up as the travellers approached, and Frodo saw that they were tall and clad in grey mail, and from their shoulders hung long white cloaks.||”|
–The Mirror of Galadriel, The Fellowship of the Ring
Upon equipping a full set of Galadhrim armour, you earn the achievement "Forest Warrior".
|Galadhrim Armour Crafting Recipes|
|The Wood-elves of Lothlórien|
Elf (Banner Bearer, Warden, Warrior)
Blackroot Vale •
Blue Dwarven •
Dol Amroth •
Dorwinion ( Elven)
Not Faction Specific: