Sledges - still cerbs in prime slots. Powerful anti-cap weapon, also good for PVE
Autopulses - useless "I can't aim" weapon with lower DPS than pulses. Worthless in PVE, may find some use in PVP
Gales - powerful long-range anti-heavy BS weapon. Very useful on light battleships that usually fight heavies/medium battleships and can fully replace both mortar and hellbore, being hybrid of them. May find use in both PVP and PVE
Siege - SIEGE! SIEGE! SIEGE! Powerful close-range weapon, heavy to hit without some blindfire magic but can wipe out your opponent if you manage to sneak close enough to have adequate hitting rate. Use it for PVP/PVE only if you're a pervert
Kinetics - has been nerfed, aka 'balanced'. Now they're good for snipering in pair with Gales if you are good in energy control. I personally did not find any good use of them
Terminators - doesn't exist because some weird *****.
Thumpers - if you can't hit smaller ships with normal weapon - try this, it's gonna be aids to fight against you
Dual gatlings - doesn't exist outside liberty because only there you need to have specialized anti-snub battleship
Voilee - I never seen them in action and think shall never see.
Heavy Ion blasters - you're heavy battleship and want to tank? or you just want to have more control? Put these but use them with wise