Really? Come on, there's plenty of stuff that can be appealing to anyone. I'm playing Tearaway and Spelunky these days, and in my "to play" backlog there's Rayman Legends, Puppeteer, Mario 3D, Luigi's Mansion 2, Pikmin 3. I'm a 31 years old male. I don't see why those games would be repulsive to an adolescent girl or to anyone with the slightest interest in games.
(Apart from the fact that adolescent girls in general do not care about videogames regardless)
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Yes, but while there are games to appeal to everyone, particularly on Nintendo consoles, they are woefully outnumbered on the PS3/360/PS4/XboxOne by the amount of violent, 15/18+ rated shooters, hack-em-ups and beat-em-ups, plus sports and driving. There are thousands of games released every year, of course you can find a few hundred to prove any point you want to make about variety, but the charts, store shelves and media usually focus around guns/swords/sports/cars, not a handful of platformers. Walk into any games shop or look at any games site and the promotional material will be about guns etc, not brightly coloured platformers.
It would be like going to the cinema to find, out of the top ten films on display, rather than a mix of stuff, that most of it is stuff about cars and explosions and guns aimed at adolescent males, with a couple for the kids.
It's not that games anyone might find interesting don't exist (my backlog is similar to yours), it's that the majority of high profile AAA titles, once you leave Nintendo consoles, are still squarely aimed at one demographic. Indie stuff seems to have adopted the 2D platformer, but I'd like to see more AAA adventure games aimed at a family audience rather than having a body count higher than watching Arnie in Commando four times back-to-back.
As for arguments from the other side of the coin, just to play devil's advocate for a moment, I'm not sure that the female protagonist is a great one to be taking a stand on when offering third-person examples like Mirrors Edge, Tomb Raider and Mass Effect. A lot of guys just like having a nice girls ass to look at for 30 hours rather than staring at the hairy arse of Stabby McCoolname the Space Marine. At least Femshep really added something in terms of decent voice acting and appropriate dialogue changes etc, and, personally, I do think we should have more female protagonists, but I don't think the high player stat for choosing Femshep is entirely due to Bioware's admittedly high female fanbase. I'd centre such an argument on good female characters that make people want to follow their stories, not just their nice bums.
My gf loves watching the characters and story in Uncharted and Mass Effect but wanders off while I deal with the endless hordes that need shooting in the head that fill out the running time. For as long as games are fixated on combat and death as virtually the only method of problem solving, I think it'll always be that way, but would an AAA console rpg/adventure genre that mainly revolved around talking and thinking your way out of problems (perhaps Portal 2 is the closest I can think of, but with more social/speech stuff), ever become popular? I doubt it very much, it's why so many genres are named after the way of despatching the enemy, and the main console gaming audience is consolidated around them.
I'm not offering any answers here, just my two pence.