Best method for getting magic items. Killing everything on the run with ease on a wizard. Repeat. Got it.
To be fair, doing exactly what he did with a well equipped Demon Hunter would probably be a tad faster, since the Wizard has no movement skill.
Demon Hunters have access to Vault and can use it 3-4 times (in a row, no cooldown) before running out of discipline, and they can also kill things pretty fast from a distance (Bola shot with 2 rare 1-hand xbows is massive AoE too).
I can see Barbarians and Monks being able to compete with that too. Monks have no cooldown and just need a target to jump from 1 side of the screen to the other (albeit with much weaker AoE) and Barbarians have Leap Attack (but on a cooldown). Their disadvantage? Weaker AoE and no ranged attacks (means you waste time running up to the enemies).