A List of Ships/Stations that each Weapon would go best with.

SMALL PHASERS:
Cargo Ship
Construction Ship
Colony Ship
Rasilak Class
Sartan Class
Mining Freighter
Hideki Class
Repair Ship

MEDIUM PHASERS:
Brinok Class
Gul Vystan Class
Vasad Class
Kulinor Class

LARGE PHASERS:
Galor Class
Keldon Class

STATION PHASERS:
Starbase

STATION PHASERS (MULTI-TARGETING):
Headquarters (same Type as DS9 and Empok Nor)

SHIP TORPEDOS:
Brinok Class
Galor Class
Keldon Class
Kulinor Class
Dreadnaught Missile

STATION TORPEDOS:
Torpedo Turret

SHIP PULSE:
Janissary Class

STATION PULSE:
Phaser Turret