I think Gone Home might count as this as it tries to "address LGBT issues", although it's a fairly popular game. I heard about a recent one called Rimworld that has lots of stories about all kinds of people like transgender, and you can choose different characteristics for your characters such as "misogynist".
Funny thing, PC Gamer (the irony) went full SJW about this and it started some SJW infighting. If I recall correctly they suggested that the transgender stuff seemed shoehorned and that backstories like "dressing in mother's clothes as a child" left a bad taste in their mouth.
It turned out that Rimworld's developers worked with a lot of transgender people and the backstories in the game were based on their experiences, so when those transgenders caught wind of this, shit went down.
I'd maybe call Rimworld a "PC game" because a lot of it was designed
for minorities.