Beam/pulse/ion make decent shield busters too. The alpha damage is roughly equivalent to missile/beam, you dont have to wait for lock, but the range is quite short so you do have to wait until you're in range.
Cannons are actually really good at penetrating armor and eating up the interior as soon as shields drop. Start chopping up power lines, gently caress their auxilliary power batteries into exploding, maybe get a lucky shot on a docking rail and really piss off the server admins.
I also experimented with a pulse weapon build; pulse weapons will fail to do any damage if they're "detonated" where the center is in empty space. However, if you're up against a target you know is solid through-and-through, has thick armor, and a juicy system-filled core, pulse weapons will bypass that armor by detonating in the center of their radius, which you can stick up to 40m into the center of the target (depending on server settings, I guess. Makes a nice juicy boom that can gut heavily armor-tanked or shield-depleted vessels of similar size to you.
The Eidolon's long barrels would be the perfect pointy sticks to ram into the side of a target to detonate a pulse weapon under the skin. However, getting into range is an issue. Distract a target with some other threat and approach from behind with radar jamming active, and drop their shields before you get there obviously. As a cheap tactic to weaken a vastly larger enemy, it sounds good, and I'd like to really test it on both ai and players in combat, but my computer and my internet access are not up for the task lately.
The sphere there is actually a hollow carved out by the pulse. Can't actually see my ship in this, it was an ugly brick specifically for this test. I put it in a general-purposes frigate I wanted to test at some point.
Of course you should use server-murdering quantities of missile spam at all times, there's no excuse not to. I'd recommend missile/cannon on logic clocks, there's a logic block now that you can activate from your hot bar. Aim your spam cannons in various directions. Distract their AMS with that, and 100% of your actual damage-dealing missiles will hit the target. Usually. You can employ loads of fighter/bomber drones/escorts with missiles.
OH!
The "fire at selected" turret AI setting is working kinda right now; the turrets will change targets as you do, and stop when you select no target, so using the AI to operate large weapons arrays via turret is possible. They'll still fire at friendly or neutral craft if you select one though, be careful.