Shinakan - "Peasant" was one of the many terms I've seen applied to the peasantry of Armenia, part of the non free Anazat class. Shinakan seems to be the one term that can be used to exclusively refer to the peasants amongst the Anazat, so that's what I am going with here. They are woodsmen, hillmen, skirmishers of no armor and poor equipment.
Ramik Archers - Ramik, "common people", is a term applied to the Anazats or non free artisans, merchants, and peasants of the cities and countryside. These are the signature Armenian archers, unarmored but with a shield & helmet, bow and sword. Good, solid light archers.
Ramik Footmen - irregular hillmen type soldiers, armed with javelins and hodgepodge of weaponry.
Anazat Bowmen/Spearmen/Militiamen - I'm appropriating the broader Anazat term to mean slightly better than the Ramik or the Shinakans, being the bread and butter light to medium armored infantry. Bowmen have bows, Spearmen have spears, Militiamen have axes/swords.
Azatapayiks - "Noble Infantry". I'm presuming here some Azats were poor enough to not possess a horse, and here's where they end up. They'll be armed with swords/axes/maces, shield, and heavy-ish armor.
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Ramikspas Horsemen - Ramik being "plebians" or the peasantry, spas seeming to be "cavalry'. Saw a reference to them being capable of being on horseback, so applying it here. Hillmen/rural tribal Armenians on horseback, no armor, just javelins/bows/spears/axes/ect. Another optional name is Ramik Aspatakawor - peasant mounted raiders
Anazat Mounted Retainers - Anazat were the "Non free" of Armenia, the artisans, merchants, and peasantry of city and rural community. Richest might be able to serve in the cavalry, and here I'm presuming the retinue of the Azats is not going to be more Azats (which is like a Knight serving a Knight) but rather 'warrior non nobles'. Still not well armored. Soft armor or no armor but helmets, shields, equipment I'm not sure about 100% but will probably continue to be skirmisher-friendly. Another optional name is Anazatazawr Retainers (Non free forces/troops), or replace retainer with retinue.
Azat(agund) Horsemen/Horse Archers - Azats or "Free men" (gund = corps/detachment) were the low nobility of Armenia, equivalent to a knight or I suppose Emir. They provided their own troops, and made up the bulk of the noble cavalry. Western styles hadn't really invested in Armenia as much as it would in the 13th and 14th century (Especially I think after Leo I) so these guys are more similar to Byzantine, Arab, or Turkish traditions. Medium armor (Mail hauberks and such), shield, sword, lance or bow. Yippie!
Sepuh - "Nobleman" or "Gentleman", it's a term of varied definition, but the most reliable source (Encyclopedia Iranica) has it cited as appearing to denote all members of great families (nakharars) other than the heads. In other words, high nobility. Heavy chainmail or oriental mail and lamellar/scale combinations, armed with a mixture of lance/spear, sword or mace and bow. Less Knight and more Cataphract/Mamluk. I'm not crazy about the name "Sepuh Horsemen", but I don't like calling them "Sepuh Knights" or "Sepuh Nobles".
Best other options are (Might be bastardizing Armenian here):
Sepuhazawr - zawr being forces, troops, army, so "Noble families troops/forces" so to speak
Sepuhapah / Sepuhapahak / Sepuhapahakapan - all meaning "Noble Families guard/guard corps/garrison (ignore that last one)"
Sepuhagund - Noble Families contingents/corps/detachment, problem being Azatagund already uses it.
Azatahamaharz OR Nakharar Hamaharz - This is purely conjecture, intended to represent the natural presence of a royal bodyguard corps for the king or the rulers of the great houses of Armenia. The first term is meant to translate as "Noble Bodyguard (Hamaharz)", the latter into being Nakharar's Hamaharz. They'd have cloth barded horses, swords, spears/lances, shields, bows, and heavy armor. But I don't want the Armenians fielding anything more than a tiny number of these guys, and perhaps to even remove it from the upgrade tree and make it only spawn with the Armenian King and other major Armenian NPCs.