Rocket League and Minecraft

MW2. She played some cod4 for a little bit but got into Blackops and mw2

The only game she should be playing is

Baby Maker Extreme 2

Something simple, easy, and visually good.

Viva Pinata.

Lego batman, not even joking.

Something simple like The Sims is always a good choice. If you're just trying to give her something to do while you play your games, the best bet is something that isn't very competitive but has a goal, like Sims or Minecraft. I'm a PC gamer, but I bought my girlfriend Sims 4 and a couple of the content packs and she's already invested over 100 hours into it over the last couple of months. That gives me plenty of time to game freely.

A game I play with my girlfriend is Drawful.

You go on twitch and other people stream the game Drawful (part of The Jackbox Party Pack) and you type in a code to get you into a game on your phone.

I use twitch on my x1.

I found out about because my brothers girlfriend showed me it. She played it with my brother, me, and two of our friends. Reaaalllyyyy fun! Doesnt take much concentration, very chill, and funny. Perfect for people who are casual gamers or people who like to have conversations and a drink while they chill playing a game.

We also play monopoly. The Live Board is cool!

I dont really think there are games that all girls would like it depends what she likes and what shes into you could try
Call of Duty
Skyrim
Zelda
Pokemon
Sports Games

Has to be The Sims game.

Just buy the Jackbox Party Pack. It's a lot of fun games that you play against one another (or more people). You use your phone/tablet to sign in on the website and use that as your controller.

It's a lot of fun with a bigger group of people, but it will work for just two.