As to stopping chariots, there are several ways to do this, and some factions have better units to do it than others. (And btw, chariots for this time period are the game designers cheese. Nearly all chariot use on the battlefield was discontinued almost 100 years before the starting date for RTW).
You can use massed spear/pike to stop the scythed type. Chariot archers will more than likely skirmish to death any slow-moving infantry. If you can cause a chariot unit to use up its charge bonus, they become very vulnerable to destruction as their hit-points get used up. Militia hoplites have to be used in large numbers and packed densely as they are prone to rout. Levy pikes, or phalanx pikes work really well as they have 50% more soldiers than hoplites and you can form them in ten or twelve deep ranks. Two units of these will kill most any scythed chariot unit. Elite phalanx like armored hoplites, spartans, royal pike, silvershields, sacred band, etc., can handle most any chariot charge all by themselves...as long as they don't get flanked.
Archers are also a good way to stop chariots. The Roman Archer Auxillia, Cretan mercs, or any of the elite foot archers like Chosen Archers, Forester Warbands, etc., will shred Chariot Archers...eventually...but they need protection from a chariot melee charge by an infantry or cavalry screen.
And now....for the premier chariot-killer..........the Cataphract Horse Archer! These things will eat chariots for lunch and still have time to join in whatever mayhem is happening on other parts of the battlefield. They have a very high defensive rating and so take few losses compared to what they are dishing out, they have very good missile attack numbers...better than the chariots, and best of all, they shoot while chasing so the chariots are often taking rear or flanking fire which hastens their demise. While not recommended until you whittle down the chariots numbers, that high defensive rating allows Cataphract Archers to close to melee when necessary. My typical Armenian field army to defeat wandering Egyptian stacks is usually 1 general, 9 Heavy Cataphracts (for dealing with the desert axmen) and 10 Cataphract Archers. On h/h, I've destroyed several Egyptian stacks in the same battle (need a top-flight cavalry genius for this, of course) on more than one occasion that were loaded with chariot archers.
Again...just some meanderings off the top of my head that I hope is of some use.
Good luck.
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