The game To The Moon, renowed for its excellent and moving story, is currently on sale for two bucks. It can be beaten in less than 4 hour (so you can beat it even if you are very busy), has a poc female protagonist (and a very lovable white guy co-protagonist), and tackles the issue of mental disorders. It's both moving and hilarious, and has excellent music.
Pretty much its only flaw is that the graphics suck. They are really very bad. On the bright side, that also means that the system requirements are so low you could play it on a toaster.
"To the Moon is an indie Adventure RPG, about two doctors traversing through the memories of a dying man to fulfill his last wish."