Here's some I did, of more or less relevance. The only thing missing is a melee style but then they are predominantly light mounted archers rather than melee fighters, which isn't to say they don;t do a lot of melee Dothraki Rider
Prerequisite: Animal Handling 3 (Ride 1B)You were born to the saddle, bow in hand
. Controlling your mount in combat becomes a free action if it is trained for war and you no longer suffer a -1B penalty on Marksmanship tests from a moving mount.
Improved Dothraki Rider
Prerequisite: Animal Handling 4 (Ride 2B), Dothraki RiderYou and your horse are one, as light as the breeze
. When mounted you can roll a dodge for you and your mount as a a lesser action using Animal Handling instead of Agility.
Prerequisite: Marksmanship 4 (Bows 2B)Shields are no defence from your arrows
. When firing outdoors at targets more than one range increment (100 yards) away your target gets only half the listed defensive bonus from shield as you shoot your arrows in a parabolic arc striking them from above.Bow II
Prerequisite: Bow IYour arrows punch through armour
. Any bow you shoot with gains the Piercing 1 Quality or increases the current Piercing Quality of the weapon by one degree. This stacks with Deadly Shot.Bow III
Prerequisite: Bow II
, Marksmanship 5 (Bow 3B)Any bow is a deadly weapon in your hands
. You may add the number of bonus dice you assigned to the Bows speciality to the damage to any Marksmanship attack you make using a bow. This extra damage applies after you apply the benefits from your degrees of success.
And I've added an asymmetric recurved longbow that is longer above the handhold than below meaning it can be shot from horseback.