I'm gonna float a few idea based on what I can work with given the parameters of the Galciv3 combat system. This is probably mostly op stuff. When I say mythic, what I mean is more like "legendary, but I feel like it should be rarer or at least not available from the tech tree, you have to find it somewhere"
I tried to make them galciv lore appropriate when possible, but a few could probably use better names.
Structural Analyzer, Legendary, Beam weapons do 50% more damage when not blocked by shields
Dread Lord Damper Field, Mythic, All damage to ship reduced by 25%
Posieden GravityWarp Torpedo, Mythic, Missile weapon, Very high damage, greatly reduced rate of fire, reduced accuracy vs smaller ships, fully bypasses point defenses
Ancient Energized Armor Plating, Rare, Counts as armor and shields but gets reduced by both kinetic and beam weapons
Hornet AntiFighter AutoCannon, Rare/Legendary, Kinetic Weapon get increased rate of fire vs small and tiney hulls. Or make it a support module.
Longbow Ancient Railgun, Legendary/Mythic, Very long range kinetic weapon, higher accuracy, greatly reduced rate of fire
Arnorean Phalanx Defense Field, Legendary/Mythic, All damage(from all sources) reduced by 2 while shields are still up
Ion Cannon, Rare, Beam Weapon, does double damage to shields but reduced damage to HP
Arnorean Emergency Quantric Shielding, Mythic, When the an attack would reduce this ships hp to zero, reduce it to 1 instead and the ship is immune to damage for the next 3 attacks. Only triggers once per battle. Or make it the next 5/6 attacks but it only activates if the ship still has shield
Arnorean Precognition Matrix, Mythic ,Support Module, Long range attacks on this ship have reduced accuracy