Most psychological/psychiatric disorders are technically “incurable.” What they are is treatable. There are some that are more inclined to produce change with treatment than others, but it really depends on the person in many cases and the resources that they have available to them. I have schizophrenia and am lucky because I respond well to medications and I have good support resources. Other people do not respond well to meds and/or have poor support resources and usually will have a poorer outcome. There are some disorders that lack treatment by medicine and instead are mostly treated with therapy. Another commenter, Armando Baez, lists correctly the disorder of Antisocial Personality Disorder which is usually considered intractable, but it will depend on who you ask. Some people like to remain hopeful that there will be treatments for all disorders in the future even if none exist now. Many of the personality disorders are treatment resistant and are obviously harder to treat, because of the nature of the disorder. I like to remain hopeful that most or all disorders will have treatments or cures in the future, obviously, because I have a disorder. Also, I think about how far we have come in the past 100 years in the treatment of mental disorders and I’m relieved that I don’t have to spend my life institutionalized!