An interesting question was asked and answered on ResearchGate. I have not read or seen any of these plays yet nor am I suggesting that we should recommend them to patients, their families, clinicians, or trainees. I have simply curated them below so that the readers of simpleandpractical.com and I can consider these suggestions, add or subtract, and ponder over their potential utility in the practice of mental health.
Three sisters (egodystonic)
King Lear (dementia)
Hamlet (procrastination)
Miss Julie (attachment issues)
Macbeth (borderline personality)
A Doll’s House (depression)
The plays of Tennessee Williams
Equus (per Wikipedia, a play by Peter Shaffer written in 1973, telling the story of a psychiatrist who attempts to treat a young man who has a pathological religious fascination with horses)
Così by Louis Nowra (1994)
Set in a mental institution in 1970, Così is the second semi-autobiographical play from Louis Nowra. In ‘Summer of the Aliens’, Lewis and Dulci come of age at the time of the Cuban Missile Crises and in ‘Così’ the education of Lewis makes further progress. Lewis the non-participant, becomes emotionally involved with his actor’s lives as his operatic production lurches forward and the anti-Vietnam protests take place in the streets outside.
The Crackwalker by Judith Thompson (1981)
This remarkable play about a mentally disabled woman and her friends explores the psyche of those living outside of “normal” society.
Eugene O’Neill’s Long Day’s Journey into Night (about depression, addiction, family functioning, and forgiveness, etc.)
Edward Albee (Who’s Afraid of Virginia Woolf?)
Tennessee Williams (A Streetcar Named Desire)
Terrence McNally (The Lisbon Traviata)
Source
Plays about mental disorder? – ResearchGate. Available from: https://www.researchgate.net/post/Plays_about_mental_disorder [accessed Feb 25, 2017].