Rule Options Used:
B.7 Shipboard Combat
B.15 Faceted Shielding
C.2 Expanded Firing Arcs
D.4 Evasive Action
D.9 Three-Dimensional Movement (All ships start at altitude 3.)
D.12 Etheric Movement (With extra momentum movement points capped at engine rating (So at most you can have twice your engine rating in MP).)
E.3 Explosions
F.4 Launch and Recovery

The ship designs here are an attempt to carry the ships conceptually from the original game Final Fantasy XII, since no information is actually given on armament I took a guess. These are actually revisions from ships I had posted earlier. The other design sentiment was shorter ranged weapon, higher speed movement and weak rear shields in order to focus more on maneuver. So far I have only generated ships for the Archadean Empire as there is very little information on any other ships in the game.

All ships use faceted shielding, which are magically generated fields called pallings. The Magicite engines weaken the flow of the mist near them, thus the pallings are weaker towards the rear of the ships. This disruption is also why there are no weapons that are capable of firing into the rear arcs.

Ifrit Cruiser Airship
Primarily a cruiser sized airship, it can be found in almost all Archadian fleets. The main armament is the forward-mounted Hellfire cannons. While extremely short-ranged, they are designed to overload the enemy's palling (Shields in AE terms.) through huge gouts of Magicite-induced flames. Most of the damage inflicted by the Hellfire cannons tends to be from sections that continue to burn after they've been hit. Secondary armaments are standard Magicite Cannons. In addition, most Ifrits carry a squadron of the standard Remora-class fighter-type airships or a smaller number of the Valfarre-class advanced fighter-type airships.

(232) Ifrit-class Archades Cruiser Airship
Hull: 8 7 6 5 4 3 2 1
Engines: 6 6 5 4 3 3 2 1
Faceted: 15 14 12 10 8 6 4 2
Facets: (3,3,3,2,2,2)
Weapons:
1:XY 2:XY 3:Y 4:Y 5:Y 6:Y

X: Hellfire: -/2/-, 1/3+/5/1
Carronade; Minimum Range; Area Effect; Continuing Damage
[G][G]

Y: Magicite Cannons: 4/8/12, 2/4+/1/1
[AB][AB][AC][AC][BD][BD][C][D]

Special: Armor Plating; Cargo (50); Carrier (50); Marines (10)

Shiva Light Cruiser Airship
The Shiva trades off armor and firepower for more speed and maneuverability. That isn't to say that it is without bite. Aside from the same Magicite Cannons found on the Ifrit, it also carries it's own Diamond Dust cannon. The Diamond Dust fires out a cloud of Magicite empowered ice shards, capable of flaying the armor off of enemy vessels. As with the Ifrit, it carries a squadron of Remora-class fighter-type airships.

(134) Shiva-class Archades Light Cruiser Airship
Hull: 6 5 4 3 2 1
Engines: 9 8 6 5 3 2
Faceted: 9 8 6 5 3 2
Facets: (2,2,2,1,1,1)
Weapons:
1:X 2:Y 3:Y 4:Y 5: 6:

X: Diamond Dust: 3/6/9, 4/5+/1/1
Extra Hull Damage
[AB]

Y: Magicite Cannons: 4/8/12, 2/4+/1/1
[AB][C][D]

Special: Carrier (50); Cargo (40); Marines (2)

Catoblepas Destroyer Airship
A lighter escort ship, the Catoblepas is intended to protect some of the less maneuverable ships from being outflanked and from the depridations of enemy fighters. Aside from the standard Magicite Cannons found on all Archadian vessels, the Catoblepas carries two additional weapon systems. One is a lighter grade of Magicite Cannon intended for dealing with fighters and boarding ships. The other is a feared weapon amongst crews of enemy airships. The Demon Eye is a Magicite weapon specifically designed for petrifying the crew of enemy ships. This fear is not without merit as the beam bypasses the pallings that normally protect the ship from damage.

(64) Catoblepas-class Archades Destroyer Airship
Hull: 4 3 2 1
Engines: 9 7 5 3
Faceted: 9 7 5 3
Facets: (2,2,2,1,1,1)
Weapons:
1:XY 2:XZ 3:YZ 4:YZ 5:Y 6:Y

X: Demon Eye: 3/6/9, 1/5+/1/3
Ignores Shields; No Hull Damage; Crew-Killer
[G]

Y: Magicite Cannons: 4/8/12, 2/4+/1/1
[AB][AC][BD]

Z: Anti-Fighter Cannons: 2/4/6, 1/5+/1/1
Anti-Fighter; Fighter Exclusive
[ABC][ABD]

Special: Cargo (30); Marines (2)

Madeen Bombardment Airship
The Madeen Class Bombardment Airship is a recent development in the Archadian arsenal. The Terra Homing cannons are primarily meant to breach fortifications in order to allow Archadian troops to enter and occupy them, though they are also capable of decimating Resistance airships. In order to provide the magicite power needed for the Terra Homing cannons, the ship's engines have little to no extra power for speed or maneuverability. To make up for this, extra armor plating has been added. However, the airship will still require support from Ifrit, Shiva and Catoblepas Class airships. Aside from the standard Remora-class fighters, the Madeen also carries two flights of Atomos-class transports, capable of boarding enemy ships. (Notes: The concept of this design is derived from the Final Fantasy 9 Summons, Madeen, and is not an airship from Final Fantasy 12, thus mostly unique.)

(364) Madeen-class Archades Bombardment Airship
Hull: 10 9 8 7 6 5 4 3 2 1
Engines: 4 4 4 3 3 2 2 2 1 1
Faceted: 18 17 15 13 11 9 8 6 4 2
Facets: (4,3,3,3,3,2)
Weapons:
1:XY 2:XY 3:Y 4:Y 5:Y 6:Y

X: Terra Homing, 3/6/9, 5/3+/2/1
No Range Mods; Minimum Range
[AB][AB]

Y: Magicite Cannons, 4/8/12, 2/4+/1/1
[AB][AB][AB][AC][AC][BD][BD][C][D]

Special: Armor Plating; Carrier - Fighter (50); Carrier - Boarding Pods (32); Marines (12); Cargo (60)