Federation Ships:Escorts - +15 Weapons
Cruisers - +5 Weapons, +5 Shields, +5 Engines, +5 Auxiliary Systems
Science Vessels - +15 Auxiliary Systems
Klingon Ships:Battlecruisers - +10 Weapons, +10 Engines
Raiders (Bird of Prey) - +15 Weapons
Raptors - +15 Weapons
Carriers - +5 Weapons, +5 Auxiliary Systems
Orion Cruiser - +5 Weapons, +5 Shields, +5 Engines, +5 Auxiliary Systems
Gorn Fleet Support - +15 Auxiliary Systems
Nausicaan Siege Destroyer - +10 Weapons, +5 Shields, +5 Engines
Engineering Consoles There are various Engineering Consoles which can add a bonus to one or more individual Subsystems. The consoles go up to +3 at the highest Marks. If you have the Console slots on the ships, you can have multiple consoles of the same type of Console. The Console bonuses do stack with all other power setting bonus.
Ship Batteries and Related Devices A battery is a comsumable device that can be equipped on your ship. (There are also permanent device, like the Red Matter Capacitor, which can add power to two or more subsystems but aren't consumed. These are treated as batteries) The battery will appear as a Power icon on your hot tray and 'P'owers window. When you use a battery, the appropriate subsystem get's a +75 power setting bonus for 3 seconds. The power amount and duration can be improved with the Power Batteries Captain skill.
Efficient Impulse Engine And I would be negligent if I didn't mention the (rare) Efficient Impulse Engine Mk IV. It's one of the possible rewards in the second half of the "City on the Edge of Never" episodic mission. This Impulse engines adds +3.8 power for Weapons, Shields and Auxiliary Systems.
Aegis Set The Aegis Set is a 3 piece set that is created via Crafting. The Aegis Hyper Impuse Engine gives at +5 Engine Subsystem power setting bonus.
Borg Assimilated Set The Borg Assimilated is a 4 set that is obtained by completing the PvE mission Assimilated and the Omega Section Vendors stores. Each piece of the set will a +5 power setting Bonus to one of the 4 Subsystems (Weapons, Shields, Engines, Auxiliary Systems).