This is what Ubisoft thinks of girl gamers...
http://gonintendo.com/wp-content/photos/515G9qXJmoL._SS500_.jpg)
...how does this make you feel?
http://i36.tinypic.com/2ro6ich.jpg)
But, on the current topic, I think it really, honestly, varies person to person. There are shooters with a good story, and rpgs with a terrible story.
I personally believe story for female gamers is a stereotype as much as violence is for male. I'll personally play anything that I find interesting at the time, or pulls me in enough for me to pay it attention.
Final Fantasy, Gears of War.
Sims, Grand Theft Auto.
Spore, Turok.
Zoo Tycoon, Half-Life.
Same goes for my sister. Who was the first to buy Halo? My sister for her PC, and she played it like crazy. The first to get and play GTA3? My sister. She loves that game, and loved the weapons and gore cheats available.
I have a friend, and all she has is a Wii and a PS2. So, she plays Final fantasy and such. I handed her No More Heroes and said it was one of the best games she had ever played.
50% of gamers are female, if we show it off or not. Whether it be Guitar Hero (Which girls ****ing love), World Of Warcraft (Almost half of my 50 or so person guild was female), or Halo (More girls play this than guys would like to admit), we are pretty much even nowadays.
Currently, the female market loves the Sims which is not surprising. Its like house when you were a kid, but now with fire and shame. And why is The Sims series still #1 in games played? Because a lot of the female market loves them some Sims. I remember reading in a magazine poll once that, for female gamers, the #1 game is usually Sims and the second was... guess what? Halo 3.
Sure, I like a good story. And really, who hates a good story? Who sits down and sees a good story and just breaks the disk in half? Even though good is relative, everyone likes a good story and especially one tacked onto a great game.
And to blow a few more stereotypes out of the water, both me and my sister -LOVE- Tomb Raider games and Lara Croft.
Put that in your pipe and smoke it.