Mage

Mage is a general term used to refer to any character or class that can work arcane magic, giving it a more neutral context (or at least informal tone) than arcanist. Whilst it is usually considered more synonymous with the Wizard, it can also cover Sorcerer, Warlock and Witch.

In Advanced Dungeons & Dragons, "Mage" was sometimes used as a specific name for a non-specialist Wizard, attempting to define a generalist caster in the same way as the Abjurer, Conjurer, Diviner, Enchanter, Evoker, Illusionist, Necromancer, or Transmuter.

In Dungeons & Dragons 4th Edition, the Mage is an Essentials subclass/variant class of the Wizard, defined as literally a simpler version of the Wizard that lacks its Arcane Implement Mastery feature. It does, however, bring back some of the classic "Specialist Wizard" angles, choosing a specific school of magic and gaining level-based bonus class features based on that school. When it first appeared in "Hereos of the Fallen Lands", its specializations/schools were Evocation, Enchantment and Illusion. "Heroes of the Shadowfell" added the schools of Necromancy and Nethermancy, whilst Dragon Magazine #391 added the school of Pyromancy.

If you came here looking for World of Darkness, "Mage" can refer to one of two games: Mage: The Awakening and Mage: The Ascension.

Warhammer "Mages" exist, but are probably not worth distinguishing from Warhammer "Sorcerers" or "Wizards".