We can get rid of every status effect that is not considered a curse. For example as previously mentioned, Doom is a curse and can't be dispelled. We CAN dispel poison, paralysis, sleep, silence (as long as it isn't on us), blind, bind, and slow with Esuna... those are the ones I have found so far!

I hope that is more of what you are looking for. So far Doom and one other which I sadly can't remember the name of is a curse as well. It was placed on my character by an undead creature so I would say its safe to say that undead mobs will probably curse your party as opposed to a normal status effect.