Yakshi - Doomga, Strophadia - Amnesia, Ironside - Dispelga/Amnesiaga/Terrorga/Gearlock, Mauve-Wristed Gomberry - Splitting, melees can't aoe as well, Golden Kist - Everything, Dazzling Dolores - Charm, Amnesia, Virava - Charmga Spam, Wrathhare - Whirl Claws with added effect death spam, Aglaophotis - Amnesia, Harpeia - Several super annoying spams, Vidala - Uses Perfect Dodge... There are more, I haven't even started with the actual hard ones yet.
Urmom has a good point though, I said something similar earlier, if these moves were done far less frequently, this would be less of an issue.
The problem is mostly the enfeebles that the Whm can't remove, namely amnesia/charm/terror/stun, or the massive dispels that take the mob 1 second to use, but require 8-9 recasts from your mages while doing your other jobs, also many of the melee buffs simply can't be put back up, if it dispels your berserk, or your Mighty Guard or the like, you just have to wait, because you can't put it back up for a while.
Most of this list is easy, because we outgear it, but the point is it's WAY harder to do with melees than mages even if most you can complete with melee, the problem is the discrepancy, if SE continues to make mobs that spam disables that make melees inefficient, we'll keep doing everything with mages, that's all.