Here you go Timo
TNG
"Encounter at Farpoint"
PICARD: Thank you. That was the missing part. Lieutenant Yar, rig main phaser banks to deliver an energy beam.
"Justice"
LAFORGE: Shields and deflectors up full, sir. Main phaser banks ready.
"The Battle" (referencing Stargazer's phasers)
PICARD: I admit I must have mistaken their subspace antenna for a weapons cluster. Unfortunately, I fired our main phasers and our direct hit destroyed the unknown vessel.
"Datalore"
PICARD: Bring photon torpedoes to ready. Main phasers to ready. Go to Red Alert, please.
"Yesterday's Enterprise" (Referencing E-C's phasers. Notice that the mains cover forward and aft - so it isn't exclusively the forward phasers)
TASHA: What are the stats on main phaser banks?
CASTILLO: Emitters available, sixty percent forward, fifty two percent aft.
TASHA: Good. Let's take a look at the torpedo launchers.
"Redemption Part 2" (referencing the Sullivan?)
DATA: Make a full report to the flagship. Take the main phasers offline and begin radiation clean up on the affected decks.
"Chain of Command Part 1"
JELLICO: I want you to install a bypass between the main phaser array and the secondary generators. I also want to run the main deflector pathway through the warp power grid and the auxiliary conduits through the lateral relays. You may have to reconfigure the transfer interface.
DATA: Sir, the transfer interface was not designed for that configuration. It will take seven hours to make those changes.
RIKER: Sir, you may not be aware that our normal interface already routes auxiliary power through three separate relays.
JELLICO: I'm aware of your current design system. It's not good enough. If these negotiations fail, we could find ourselves in a war zone and if that happens I want to be loaded for bear.
(I'd also point out that Jellico bumps up the power transfer and warp coil efficiency by 15% in this episode. More power to the weapons and maneuverability?)
JELLICO: Power transfer levels need to be upgraded by twenty percent. The efficiency of your warp coils is also unsatisfactory.
LAFORGE: Coil efficiency is well within specifications, Captain.
JELLICO: I'm not interested in the specs, Geordi. The efficiency needs to be raised by at least fifteen percent.
LAFORGE: Fifteen percent.
DATA: That is an attainable goal, but it will require realigning the warp coil and taking the secondary distribution grid offline.
JELLICO: Very good, Data. That's exactly what I want you to do.
In TOS, "Main Phasers" were called out in:
"The Corbomite Maneuver", "The Balance of Terror", "The Doomsday Machine", "Mirror, Mirror", "The Trouble with Tribbles", "Journey to Babel", "The Ultimate Computer", "The Enterprise Incident", "That Which Survives", and "The Lights of Zetar".
In DS9, "Main Phasers" were used for the Defiant's phasers in "Favor the Bold".
In Voyager, there were no references to "Main Phasers".
