There is no such thing as magic so all the classes below have only the non-magical abilities/feats/etc.  Some magical abilities or even "spells" may have simulated natural versions if you have something plausable.

E.g. "Fireball" might be something akin to a Molotov cocktail.

Barbarian
Bard
Priest (Cleric - No spells)
Naturalist (Druid - No spells, some spells simulated)
Fighter
Monk
Knight (Paladin - no spells)
Ranger
Rogue
Scholar (Alchemist, Engineer, Philosopher - Mage with no spells)