You want to get her interested in gaming with you. Let's look at the root cause:

1) She begs, nags, harasses, pleads with you to get away from the computer, do something together, "spend more time with me", etc. You feel that getting her into gaming will bridge this gap, and let you continue on playing games together.

2) You watched some shitty movies, and have concluded that no movies in the history of cinema are worth watching. Or she only wants to watch chick-flicks. Or you can't agree on movies, so she watches The Notebook (again) and resents it the whole time, because you're busy playing a game.

3) She feels that she doesn't know you enough, wants to "meet you halfway", and has shown interest in playing something you play, rather than her typical Facebook games.

4) You want something for the both of you to do once your child(ren) is/are asleep, and the thought of reclaiming your juvenile adolescence by trouncing some n00b really butters your biscuit. It'd be great if you were a husband/wife team!

There's really only one thing to be said for all of these: you're doing it wrong.

You're in a new country. It has a history, a culture, a language. Go out and see and learn them, together. As a family.

You have a new family. It has a future, traditions, and time to be spent together. Don't waste it; spend it together. As a family.

You're wasting precious moments with people who don't give two shits about you, and avoiding precious moments with people who love you more than their own breath.

You're the man of the house. Act like it.