Allied Light Cavalry
Raised from the countryside, these mounted warriors wore little or no armor but often fought in skirmish or a wedge.
Cataphracts
Close formation heavily armored shock cavalry trained to disrupt even the most
stalwart opponents. Levied from experienced cavalry units and riding large horses that are armored from head to toe, these valiant troops formed the core of the Roman and eastern mounted arm in later centuries.
Fanatics
Mounted on their lightning steeds, these warriors of destiny rode into history with a merciless vengeance. Armed with heavy armor, bows, shields, and lances, these troops formed the spearhead of the army. Their impetuous charges routed many opponents in their search for their fate.
Feudal Cavalry
Covered in chain mail armor and helmets of steel, these chivalrous warriors of the king often formed his best shock cavalry. Using wedge formations to disorder and break opponents, these proud warriors carried their standard with honor.
Heavy Cavalry
Carrying shields and heavily armored, these troops were well trained to fight in a loose formation. These troops at times also carried bows and were skilled in disordering enemy foot soliders with their ferocious charges.
Lancers
Armed with lances and heavy armor, these skilled horsemen would form into a wedge and charge pellmell into the enemy with defiant indifference. Used primarily as shock troops, these horsemen would be the spearhead of any charge.
Light Cavalry
Trained in skirmish tactics and lightly armored, these mounted troops wreaked havoc on supply lines and fought well when used with their heavier armed counterparts.
Light Horsemen
Raised from the vast plains and steppes of the east, these lightly armed horsemen rode like the wind. Armed with bows and not much else, these loose formation troops would evade all infantry or heavy cavalry opponents and strike at their rear.
Noble Cavalry
Armed with heavy chain mail, javelins and shields, these close formation troops were
raised from the noble houses of the King. Often formed as the bodyguard to the king,
these forces formed the strength of northern european trinal armies.
and thats all the ones i know of