Horse Archers are usually good vs Chariots. They are better than regular archers for this work because they can actually stay away from the Chariots (at least when the AI is controlling the chariots). Put the Horse Archers in Cantebury Circle when going against the archer-Chariots, and they do quite well (take them off that mode if the enemy archer-Chariots start shooting at something else).

For ground troops, I 2nd the Phalanx choice. As a Roman faction, swing a general through original Greek territory (territory that the Greek Cities originally occupy) and you can usually find some Merc Hoplites.