ok, as you requested, here are the greek names for those units:
Land units
Three Light Greek Cavalrymen-->Three Heitaroi-->Three Heavy Cataphracts (not AOE, please)
greek name (in the future i will use the abreviation GN for this) : Prodromoi---> Hetairoi (or Etairoi) ---> Kataphraktoi
A Phalanx of Six Hoplites-->A Phalanx of Six Heavy Hoplites-->A Phalanx of Six Spartan Hoplites
GN: Phalanx (surprise

) ---> Omoioi Phalanx (spartan)
A Phalanx of Six Mercenary Hoplites
A Phalanx of Six Macedonian/Seleucid Sarissophoroi (Pikemen)-->A Phalanx of Six Macedonian Royal Sarissophoroi (Pikemen)
GN: Sarissophoroi is fine. I think that the "pezetairoi" (which means foot companions) is a good name for one of the sarissophoroi strong units.
Thracian Horde (Thracian Mercenaries also)
Two War Elephants-->Two Armored War Elephants
Egyptian Pharaonic Guards
Egyptian Light Cavalrymen
Rodian Slingers (Mercenary) GN: peltastai (it means peltasts)
Naval units
Bireme-->Trireme-->Tetrareme-->Quinquereme GN: dieires is bireme, and trieires is trireme, but i am not aware of a greek name for the other two (it doesnt mean that it doesnt exist)
Catapult Tetrareme-->Catapult heptere
Transport Galley GN: Galley is 'Galera', but i am not 100% sure that it was called than in ancient greek too.
Peltasts
Heavy Peltasts (GN peltastai, as was already mentioned)
Three Cretan Archers (Mercenary) GN: mercenary is 'misthophoroi' in plural, and 'misthophoros' in singular. It comes from misthos (salary) and phero (hold, possess). Just like sarissophoroi means to hold sarissai

Cretan in greek is Kretai
Three Greek Archers GN:Archers= toksotai
Three Mid-Eastern Archers
Three Camel Cataphracts (for Parthia, the Parthians were the only ones mad enough to put such an amount of armor onto a camel)
Three Camel Spearmen
as for the wonders of the greek world:
Colossus of Rhodes= Kolossos. Rhodes= Rodos in greek
Library of Alexandria= Bibliotheke (it means library)
Mausoleum= Mausoleion
that is all i think
