I've found it very rare that Greek units break (they have morale one or two points higher than their equivalents from other cultures). Even when my general is off haring about playing Alexander, as long as he doesn't get killed or routed himself, they tend to hold. I remember in a siege battle I had one unit of levy hoplites (!) who died almost to a man on the walls, but never gave up.
My non-Greek units, on the other hand, can be flaky at times.
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