Once you get to the middle of the map (SE of Paris I'd say), you can get merc pikemen. They seem to have the best anti-calvary weapons. Its even possible to edit them so they don't switch to their secondary weapon, but that makes them a bit too strong.
I agree with insane, keep your troops still. The merc/miltiia/levy spearmen can all take a charge if stationary and facing the right way. Even heavy horse don't take out too many.
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