A game which I like a lot but which paints a rather misogynistic picture (and doesn't touch LGTB at all besides an event where gay love is mentioned and condemned in-game) is Battle Brothers:

Only men can fight (no single woman as playable char in the game), women are depicted in clichee roles such as prostitutes, damsel in distress etc.

But: this is a game that takes place in a low fantasy medieval world very similar to Europe's medieval times. So while I would oppose such behavior and views in the real world (I guess most people would do) it's okay for me in this game. Why would I be offended by a game that tries to somewhat accurately depict medieval flair? Life in general isn't worth much in this game. It's obviously a game made by nerdy men for nerdy men. No harm in that. The devs themselves don't share the views of the characters in their game.

A far as I can tell BB didn't get a lot of backlash for this rather "conservative" or clichee game/world design. The game was very successful. Most games cater to male audiences. Yet male gamers keep yelling that their views get oppressed, politics shoved down their throats etc.
What a nonsense. There are writers in the game industry that want to tell a story about something they think is worthwhile writng about. Let them. Don't tell creators what to create and what not. If you don't like the outcome then pass. It's very easy.