I've never watched Anita Sarkeesian's video in question myself, but I did watch ThatOneVideoGamer's
video which concerned them and the controversy they got. I'm listening through it again now, but I'm not sure which points from it I should bring up.
One of the things I do think is relevant is the mention of Japanese values being different to those in Western cultures in regards to women, and that causing problems in things like Metroid: Other M (which I haven't played but I've certainly heard about the controversy with that one). But, coming off that, I think a valid point is that any misogyny in games would hardly be constricted to that medium. Sure, maybe it's a case of video games playing catch up, but there's still problems that need to be solved in society at large in terms of gender equality, and that would be reflected in video games, certainly, but also in any other form of media. Honestly, though, while I've played games a lot, I don't have a huge library of games, and a lot of those have been games that don't really have characters as such, like the older Need For Speed games, tycoon games, and that sort of thing, so I don't have a lot of experience with female characterisation in games, at least until the last couple of years.
Also, in regards to the "Damsel in Distress" thing, there's something at the tail end of ThatOneVideoGamer's video (about 45 minutes) that I think is a decent point too - is it bad that there's
some games where a female character has to be saved by a male one? That would certainly be a problem if it was
exclusively "the helpless woman needs to be saved by the badass guy" or something, but that doesn't mean that no video game plot at all should involve a woman that needs to be rescued for whatever reason. I mean, it's certainly good that there are plenty of badass, or otherwise strong, women in video games, but that doesn't mean that
every woman in a video game has to be able to beat everyone up, or not cry, or not wear a fancy dress, etc.
But I do agree with Herra and zookeeper here, that it doesn't mean that there aren't issues that need to be raised, and it's easy to be sexist (or any type of prejudiced, in fact) without meaning to even if you aren't consciously sexist. I'd also like to agree with zookeeper's point that I to would like to know how to write/design/make something while avoiding being sexist (and I am currently seriously toying around with story ideas of my own), just to ensure that I can make something that doesn't alienate any of the potential audience.
Maybe I should watch Anita Sarkeesian's video in the future, but hopefully I've said something relevant here.
EDIT: Also, since I was deliberating on posting this and Dragon's new post came up:
but I believe that an average gamer has no problem with women
The reaction that Other M (which I mentioned before) got lends credence to the fact that a lot of males who play games aren't (deliberately) sexist as there was a lot of vitrol regarding Samus' characterisation.