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Spartans... ha-ha-ha... whew, I haven't laughed like that in a long time... read this ( https://ru.wikipedia.org/wiki/%D0%90...80%D1%82%D1%8B ) – it basically describes the troops of Sparta quite well!
Come on, people don't perceive Spartans as... Spartans anymore; it's become synonymous with hoplites.
That's right, I know enough about the real Sparta, but I'm using easily recognizable names. And it's clear that "Spartans" sounds better than "Hoplites/Phalangites/Sarissaphores," and so on. Regular and upgraded units also need to have different names, not just "Phalanx."
Added 5 minutes later
The Greeks have other types of troops, but they aren't as recognizable to the general audience, and some are simply difficult to implement in the turn-based Heroes setting. You could add skirmishers or peltasts as ranged units, but even with cavalry, problems will start to arise. Knights don't even look convincing in the Heroes setting, especially with their tactic of circling around a unit. Lizards and Bears also suffer from this problem.