The following units of each list do not count for the Breakpoint of the army:
Egyptian Army: Skirmishers, Chariot runners.
Hittite Army: Skirmishers, Chariot runners.
Assyrian: Skirmishers.
Homeric Greek/Trojan: Skirmishers.
Greek: Skirmishers, Mounted Skirmishers.
Achaemenid Persian: Skirmishers, Scythians.
Alexandrian Greek: Light infantery, Skirmishers, Mounted Skirmishers.
Late achaemenid Persians: Skirmishers, Mounted Skirmishers, Scythians, Scythed Chariot.
The succesors: Light infantery, Skirmishers, Mounted skirmishers, Scythed Chariot.
Indian: Skirmishers.
Republic Roman: Skirmishers, Mounted Skirmishers.
Imperial Roman: Skirmishers.
Carthaginian: Skirmishers, Numidians.
Gallic: Skirmishers, Mounted Skirmishers.
German: Skirmishers.
Britons: Skirmishers.
Dacian: Skirmishers, Mounted Skirmishers.
Sassanid Persians: Skirmishers, Mounted Skirmishers.
Late roman: Skirmishers, Mounted Skirmishers.
Early Byzantine: Skirmishers, Mounted Skirmishers.
Hun: Skirmishers.
Anglo-Saxon: Skirmishers.
Norse: Skirmishers.
Norman: Mounted Skirmishers.
The parthians are the exception:
Parthian: Armies with more skirmishers than not-skirmishers units: all the units count for the BP
I don't have right now the WMAncient Armies book, I will update the rest as soon as possible.