Okay, on the Greek cities... it is difficult to attach certain units to the hundreds of different factions and city states, but I will give some information on the most important actors:
Achaian League: Probably the most renowned and exemplary Greek army in the mainland. While their hoplites were not as impressive as the Spartans, they would later adopt the Macedonian phalanx and use them to great effectivity. They were probably the only ones to adopt Thorakitai later on, but their cavalry was somewhat inefficient until the reforms of Philopoemen. Like most other states, they also used the Ekdroimoi, light hoplites who could fight in the old phalanx style, but would exit it (hence the name) to flank enemy troops.
Aitolian League: Due to their position in the North Western mountains, they were especially skilled in skirmishing and especially their peltasts were regarded as worthy foes. Primarily citizen levies, few mercenaries, favoured Cretan archers and Tarentine style cavalry as mercenaries . Later adopted the Macedonian phalanx. Their whole cavalry only numbered at 500 men and was never higher than that, but it was regarded as very effective, the infantry manpower was about 14 000. Generally avoided big pitched battles and fortified it's own lands to follow a very defensive strategy. Defeated Celtic, Macedonian and other Greek armies (like the Boiotians) thanks to their fortresses and the use of missile troops like slingers or peltasts from hills. Very flexible army.
Athens: During this time they had a little army, that was primarily a defensive garrison and rarely ever left Attica. Iphicrates' reforms already came in the early 4th century and seem to have increased the strength and number of the peltasts. It is hard to see if he only recruited peltasts or if hoplites (who are said to have been equipped with longer spears and little shiels to be more fleixbile) were actually very much like phalangites. Okay I'll translate this here from a dictionary:
(...) die Peltasten, die, mit kleinem runden Schild, leinenem Panzer, Gamaschen (Iphikratiden) statt Beinschienen, langer Lanze und großem Schwert bewaffnet (...)
''Peltasts were equipped with a little, oval shield, linen armor, leggings (Iphikratides) instead of jambarts, long lances and a big sword.''
Apart from that Athens relied on their citizen infantry with some
hippeis and usually Ptolemaic reinforcements.
Boiotian League: The first of the free Greeks to adopt the Macedonian phalanx, perhaphs even before 250 BC. Boiotia was usually believed to be a hoplite country, and fielded quite a big army in 245 BC with 10 000 men, which was roundly defeated by a much smaller Aitolian force and indicates a decline in the quality of the Boiotian army despite its adoption of the Macedonian phalanx around the same time.
Bosporan ''Empire'': Initially a citizen hoplite army like everyone else. Skythian influences led to an early adoption of oval shields and probably also the recruitment of Thureophoroi. It seems doubtful if they adopted the Macedonian phalanx before Mithridates of Pontos took over the rule. From a Polish book I could gather as much, that their hoplites would also throw javelins or darts, similar to the native tribes of the Maeotis. They were later influenced by Roman traditions and during the time of the Principate they would equip their soldiers with big shields a lance and three or five javelins, very much like
Lanciarii. A bit late for our timeframe, though, but this development might have begun earlier, with a similar increase of Sarmatian cavalry since the days of Caesar. All in all, an archaic Greek army combined with Scytho- Sarmatian skirmisher warfare
Cretan League: Old- style citizen militia, never used mercenaries. Strong cretan archers and skilled skirmishers, similar to the Aitolians, that inflicted heavy losses on their Macedonian and later Roman foes. Defeated Rome in the first Roman- Cretan war thanks to skirmisher warfare and 24 000 citizen soldiers. Experts at ambushes.
Massalia: Those mods that have them represent them with heavy Celtic influences. While units liek Thureophoroi or even Thorakitai (considering their alliance with Rome) are likely, they seem to have been mostly a victim of raids by their Celtic neighbours. During the 2nd Punic War the Volcae tribe were allies of Rome and thus might also have been allied to Massalia, but the sources hint more at Ligurian slaves (not captured by war, but by commerce, though) and contacts to them. Other mods also claim they had strong archers, but again it is hard to find proof for that. The problem lays in the focus on its navy, similar to Rhodes or similar states. Their army doesn't seem to have been very great since they always called on Rome for help, but I guess we could give them good archers, Ligurian auxiliaries and Thorakitai.
Rhodes: Same as Massalia, they favoured ships over armies. Maybe we can give both of these a shipyard where they have access to improved ships, and an additional building that increases their urban trade income. Howeber, Rhodes tried to expand in Asia Minor and held a
peraia in Caria for a good while, so they could get access to the Carian infantry the Ptolemies use as well. And obviously, Rhodian slingers.
Sparta: Fielded it's old, well known army with Spartiates, helot skirmishers and other units like the famous Skiritai, basically no cavalry and the Kyrpteia, teenagers that had to survive on their own for a year and where also used to terrorize the helots. Later this ancient army was reformed by Agis IV, Kleomenes III and Nabis, who introduced the Macedonian phalanx, naturalized Perioikoi and helots and recruited mercenaries:
http://www.twcenter.net/forums/showthread.php?584316-Sparta-in-the-hellenistic-periodSyracuse: (And other Sicilian Greeks) Strong cavalry, heavier than the common
hippeis. Heavily relied on mercenaries, fielded Peloponnesian hoplites as well as Macedonian phalanges and unique siege weapons (like the various devices constructed by Archimedes). Since it's geographical position between Carthage and Rome they would also field Thureophoroi, Thorakitai, mercenaries from abroad and also draw on Sicel troops.
Thessalian League: Famous for the Thessalian cavalry, the most effective and most feared regular shock cavalry of the day. It also possessed a federal army, most likely made up of citizen hoplites and peltasts. During Epirote or Macedonian occupations they obviously fought under foreign lords, and the position between the two Hellenistic kingdom probably means they also had their own phalangites at some point.
That's all I could gather thus far. I'll be in the library tomorrow because of my paper and will skip by the part about ancient warfare. Perhaps I can find out some additional stuff.