These armor sets can only be worn by the race they belong to. Racial armor consists of 3 tiers and can be bought in the capital cities. Tier 1, tier 2 and tier 3 cost 1g, 10g and 20g per piece respectively.
Asura Male, Tier 1 to Tier 3
Asura Female, Tier 1 to Tier 3
You can find the rest under the spoiler tag.