Nothing, but you don't need attempted rape to do that. It's not as if you would have had gamers starting at the screen going "Yes yes, she's going through hell, but she's a woman, how am I meant to take their suffering seriously if no one's tried to rape her".
You don't need it, but it's still powerful storytelling tool, if used sparingly. I agree that writers often reach for rape as the easy go-to method of getting investment, but sometimes it works, and sometimes it can also be used to show the perspective of someone who has or almost has gone through it. In LAra Croft's case, it was intended to make the situation as horrible as they possibly could, and there are few things a person can do to another than sexual abuse. On top of that, it was hardly a footnote in the game, nor was it portrayed lightly or unrealistically. Just because it wasn't necessary, doesn't mean it didn't add to it.
Attempted rape and such sexual violence is missing from that list of bad things that tend to happen men. That is significant.
So you're saying rape and sexual violence does not happen to men? Because I left it off the list of examples doesn't mean I think it doesn't apply. Go look up numbers of things like prison rape, child abuse, etc. And both these things, especially the former, is also showcased in movies and sometimes even games; and never lightly.
That's a fair point, and this is why sexism sucks. It becomes hard to to distinguish sexism from other more legitimate ideas. Like a stupid black character. Is that a reference to the cultural stereotype that all black men are stupid, or is does it just so happen that the role of a stupid character in a movie went to a black actor?
This is why focusing on these things sucks, rather. There are still sexists, racists and other bigots out there; plenty of them. But most of them are pretty darn obvious to pick out of a crowd, so to speak. Most of these are hardly subtle in their beliefs and once they open their mouths, it becomes apparent almost instantly. This is a movie poster for a movie featuring powerful female heroes that fight alongside the males. They're going to get beaten up. It's an action movie. That's what happens. Be glad there are female characters in it who get equal representation, both in the good and the bad. It just so happens that it's much more photogenic for Apocalypse to be holding up one person by the throat, than having a man in one hand and a woman in another for equality's sake. Mystique sells tickets. Apocalypse showing the prospective audience that he will murder heroes in cold blood sells tickets.
Until sexism is a thing of the past, the same situation just gender flipped will not provoke the same responses. You are completely right on how it should be, which is probably why your above sentiment is echoed by many social rights activists. For example you have no problem with Lara's suffering being at least in part to make the player feel protective of her, when has it ever been a stated design goal that we feel protective of a male protagonist due to their suffering?
In every story with a sympathetic, male protagonist ever made? It's true that the methods used to breed protectiveness changes depending on gender and target audience. What makes men protective of other men is different from what makes them protective of women. The same as what makes women protective is different; at least in public perception as we can debate on that for hours too. But how many movies have you seen where a male protagonist is hurt, physically and emotionally, either to a breaking point or even beyond? I'm sure you felt protectiveness and compassion in those cases too, even if we're talking about a cliché action hero here. Heck, tons of Greek myths thrive on putting their male heroes through hell to prove all manner of points, but the stories still illicit compassion for the protagonist and their suffering. Protectiveness IS easier to instill in men for women because it does seem to be easier to get out of them, but how many plots revolve around a male protagonist losing a brother or something and you feeling horrible for them? A lot.
Please, try to keep perspective. These things have been happening to men or being done with men since the dawn of fiction. It's nothing new. I don't advocate violence against women, or anyone, but women are in mainstream movies more and more, so you're going to be seeing more and more women getting put in violent situations. That's just the way it is in action movies. But that has nothing to do with their genitals.