The best, most consistent AI aurora build I've found doesn't use missiles at all. Requires an aggressive officer, but: 4x ion cannon, 2x pulse laser, 2x IR pulse laser, heavy blaster in the hardpoint, 2x burst pd (frontmost and rearmost turrets); leave the two side turrets empty. ITU, stabilized shields, hardened shields, max vents. (Though if you've got a spare resonator MRM, it's not a bad plan to stick that in the synergy turret.)
(Also, I guarantee you that someone is going to come along and declaim that a non-missile Aurora is terrible. There's always someone, and they're always so very certain of themselves. To be fair, there are a lot of ways to make a bad Aurora build, and if you haven't actually tried it out in-game, it's easy to dismiss the ion cannons as unimportant. That's why it has to be an aggressive officer, too: otherwise it won't close to ion cannon range. Can also be worth linking the ion cannons with the PD so the AI can't shut them off.)
Meduse, like Eert-def says, you mostly won't use missiles; I think the most I've ever gone with is a single antimatter SRM. Generally you want small kinetic-ballistics though.
Enforcers and brawlers I don't use; they just don't work well for me.
Eradicator is kindof to taste. Annihilators are pretty good. Hammers or atropos or sabots can be pretty good if the officer has missile spec. Swarmers aren't great, but have enough ammo to not just get wasted. Breach is a lot like swarmers, but can be better for some builds (for example, I had a mostly-punch-down Eradicator for a while that used 2x heavy autocannon, 1x dual flak, 1x railgun, 1x light assault gun, 1x light mortar - which fares great against frigates and destroyers, but needs help against cruiser grade armor). Gorgons can be pretty good too, especially if you're expecting to hunt mostly smaller fare.