For level 1s, anything will do (except maybe a BS or bigger), though destroyers are remarkably efficient. Just be sure not to over-group your turrets, as a 3-turret volley should be enough for just about anything you face.
In order of preference:
Also, any Faction or T2 frig will do nicely (Except maybe Neut/Tackling/EWAR ships)
For level 2s, a decent Assault Frigate (if you have the skills) can chew through them like crazy. They have added mobility and tracking (small turrets) that can usually overcome the reduced damage. Destroyers may have trouble tanking some of the harder ones. Cruisers are also good, as they can easily tank the damage, although they may not be able to hit some fast-orbiting frigates. Train Drone skills if you have a dronebay, it will help immensely.
Faction frigs may have some trouble. HACs and some Recons are also helpful.
Always fit to the strengths of your ship/race:
Amarr: Energy Turrets & Armor tank (Drones for the Arbitrator)
Gallente: Hybrid Turrets (Blasters), Drones, mostly Armor tank
Caldari: Missiles, Hybrid Turrets (Railguns), Shield tank
Minmatar: Projectile Turrets, some Missiles, mix of Shield and Armor tank