You will need to download mods.
Street Fighter V has great gay mods if you're into fighting games:
https://www.deviantart.com/streetmodders/gallery/58269543/sfv-characters
There is also TES Skyrim, lots of gay mods there (simple Google search ). It's an RPG game.
Only PC games let you mod. Console games (for the most part) do not allow you to modify in-game content.