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Based on the names that were approved after the discussion:
1) Templar -> Inquisitor (class)
2) Engineers -> Mechanics
3) Apsaras Rakshasa -> Rakshasa Princesses (original)
4) Dancers with Leaves -> Dancers with Death (original)
5) Magical/Silver/Light Unicorns
6) Spearman -> Hackers
7) Rune/Flame/Polar Priests
8) Imps <-> Parasites (names are swapped, as in the original)
9) Horned/Rift Demons
10) Lilim -> Temptresses
11) Lords -> Lords of Chaos
12) Lamias -> Shadows (make them darker?)
13) Vampire Killers/Vampire Lords
14) Bandits -> Rogues
15) Wyverns/Aspids/Paoka
New questions:
Golden Golems instead of Magnetic Golems?
Stormtroopers instead of Marauders (Orc upgrade, storm + stun)?
Bloodthirsty Centaurs instead of Nomadic Centaurs (bloodlust)?
Regarding Jarls/Earls/Turs/Ases, the alternatives were ultimately rejected because:
1) Jarls/Earls are really inconvenient.
2) Turs are a general name for these giants, so if anything, they should be used instead of Thanes (basic type), and Thanes should be the alternative, but there's a downside here too (another unit is natively called Thanes).
3) Ases are not associated with giants.
4) Thors are clearly associated with divine power and lightning, so it's a 100% fit (the only downside is in the proper name, just like with Minotaurs).
In my opinion, the 6th tier of Dwarves are demigods, because they are almost equal to dragons (they are the strongest representatives of their tier, on par with Hydras and Ents), and there are very few of them.
I am also considering the option of removing Jarls and leaving Earls, but then we need to find some kind of fire giants to replace the Jarls (I haven't found any yet).