Heya. Man in his 20s here, I'll answer for myself but can also attest to what 2 female friends of mine play, since we play together a lot.
Right now, I'm enjoying The Old Republic a great deal (gave a wide-berth to everything BioWare related after Mass Effect 3 but then Citadel came out, took it as my endgame and decided to give SW:TOR a try since it was free). Also, predictably Mass Effect 3, and I picked up Final Fantasy IX again lately. ^^
My friends usually play Skyrim. I played too for a while, but now we're all just waiting for The Elder Scrolls Online. They also played SW:TOR but got tired of it after the latest weekend marathons (double the experience was nice, played more, end result was they burned out on it =P). One also picks up a Final Fantasy game every now and again, like many she raved with the first she played, in her case, VII.
What hooks us is the story. Gameplay is nice but it doesn't win us many favors. On my end, If there's no story involved, I don't hold on to any multiplayer game or mode very long (MMORPGs being the exception, since the objective is both multiplayer and story.)
There's lots of overlap in my experience. Other groups of friends I have, from both genders, usually get together over a game of Sims and the like for instance and I can't stand those games. From what I see, it depends more on the person than the gender.
Anyhoo, just my (rather large ^^; ) 2 cents. Enjoy your playing and good luck on your assignment. =)