TL;DR(imo)
Monks are the best for general dungeon farming2nd Shaman3rd MageDruids are deadIn this thread I will talk about the most promising classes to farm Dungeons.
Which includes Monk, Shaman and Mage. If I have not covered a class, it's either because they have a minor to no signifcant movement speed increase, a range pull or a dash/leap.
Demon Hunters have everything of that, but they're dealing damage with their dashes - therefor a no go for dungeon pulling.

Keep in mind that this is stated during Beta, so everything is subject to change.
Also note that we have no access to Glpyhs on the PTR.

Druid

Let's dive into my most favorite class to farm basically anything with; the Druid. I have terribly sad news for every Druid lover out there.
With Legion's arrival not only Starfall but Soothe will be gone. No more sexy across the whole room pulling. We now would have to budy pull. Literally walking into the mob to obtain aggro. No, just no.
Starfall now functions similar to Volley and Rain of Fire - which wouldn't be bad, if we didn't have to spend 60 resources for it!
But, after all the sadness there is at least one glimmer of hope: Pre Legion Content you can still use Teleport Moonglade! For whatever reason. Why would you still play a Druid" I don't know, you tell me.

Druids are dead.

Monk

Let's talk about the Monk.
The Monk seems to have the most potential, Zen Pilgrimage now has a 1 Minute cooldown once casted - basically Monks have a nerfed Teleport:M...