You think Depraved Awakening is like Sex in the City? Really?
No, that's absolutely nothing like what I'm describing.
I'm not sure why a game about a woman who can (if she chooses) have a wide variety of sexual experiences with a wide variety of partners is any different from a man in the same position and with the same choices, and yet we have tons of the latter and almost none of the former. The big difference, and the one I'm complaining about, is that even when we do get games featuring a woman (whether or not she's the protagonist/POV character) having sex with lots of partners, she's almost always the witting or unwitting victim of lechers, creeps, blackmailers, rapists, zombies, minotaurs, etc., etc., etc. It's extremely rare for any of those partners to be attractive or appealing in their own right; they always have to coerce the woman into sex, whether or not she ends up enjoying it. In almost none of these games does the female protagonist have agency; sex is something that is done to her, and your task as a player is to navigate her into situations where what little agency she attempts to assert is stripped away. Usually literally. That's...depressing.
Obviously there can (and probably should) be some sort of framing device aside from "want sex/get sex," but that has nothing to do with the gender and the visual/emotional/mental/sexual appeal of the potential lust objects. We could have, to pull a completely random and never-before used idea out of the ether, an attractive and wealthy but reserved woman who, through a series of unexpected events, ends up with a down-on-his-luck actor living in her enormous house. They bond, then start fooling around, and eventually it turns out that he's got another friend who starts hanging around and making his own interest clear, at which time you're given the choice to choose one or the other or even start moving towards a three-way relationship. Meanwhile, there's this super hot but slightly...off...nurse you can bang, a few other random hookups (some of which will eventually cause trouble with one of your primary relationships), a crazy and overprotective mother with a violent streak, a house explosion...
Or we could have a game in which a devastatingly sexy but retired singer, fresh out of a broken marriage and trying to make a new start as a teacher, takes on a sheltered young man with musical aspirations as a student. She can slowly become more than his teacher, say yes to the bolder advances of his more confident pal (who also happens to be an aspiring musician) and who doesn't seem to mind sharing you with his buddy, return the equally obvious interest from his handsome uncle, start up a relationship with the nerdy but stealthily attractive and extremely well-hung neighbor, or even use all these experiences to become a better person while you try to rebuild your relationship with your ex.
Now: obviously I just stole the settings of two extremely popular games and reversed the genders, but neither is so off-the-wall that it couldn't exist by now. But it doesn't. Not even close. Instead we get Anna and Elena and Ayame and Manila and all their busty clones trudging around RPGM maps looking for the next glowing star where they can experience the joy of being victimized via the most transparent and threadbare illogic of their blackmailers and assaulters. Again. And again. And again. Story? Plot? Yes: get your hapless woman fucked as often as possible, by the most hideous partners possible. Or don't, but then you won't see any sex scenes after the first (the one with her utterly clueless fiancé).
To the objection that a horny and attractive woman wouldn't have much trouble getting laid and thus there's no degree of difficulty...well, then there's your story challenge. Find her one. Make her climb the corporate ladder, or be forced to choose between exhausting (but game-necessary) work and the hot coworker who wants to go out for drinks, or make her a spy infiltrating a Hollywood studio (or a porn studio), or really any plot of any game ever. The only reason it's "hard" for a male protag in the vast majority of games to get laid is because the dev arbitrarily decreed it so; the MC could have sex in every single frame if that's what the dev wanted, and the reasons the MC can't are just as arbitrary. They don't become less arbitrary just because the MC doesn't have a penis.
To the objection that people (presumably dudes) don't want to play a game in which the object is having sex "done to them" — an objection they should probably spend some time thinking about — the solution is the same as the aforementioned Bambi in Lechertown genre: point your camera at the MC. You're still playing a game in which you're trying to nail the hot woman on the screen in gront of you, the only difference is that she (rather than the NPCs) is the one you're making choices for. Now replace all the fat bosses and retired minotaur zombies and homeless tentacle monsters with attractive and interesting people, and don't even think about raping her. Is that really so hard?