My girlfriend is way smarter than me; she has a PhD in ancient languages, teaches courses at one of the best universities in the world and organizes conferences which manage to concentrate some of the leading experts in her field in a single room for the sole purpose of trying to decipher the smattering of inscriptions left behind by priests and tax collectors on a single island three thousand years ago. She also loves the Walking Dead, Indiana Jones, Dr Who, Star Wars and the works of JRR Tolkien (which was kinda how we hooked up ten years ago, she speaks elvish). I mention this only to establish that I am in love with a very, very smart geek who spends less than a tenth of her time playing video games than I do. Well, I'm also kind of showing off, but there's a serious point too:
Before I tried to get my girlfriend into games she played Heroes of Might and Magic, Total War and Civilization. Very much a strategy gamer, with elements of story but not too much. I tried to share a couple of games I was into, but the one she really hooked onto was Fallout 3. Initially I had to persuade her to load it up by telling her Liam Neeson played a major character (a favorite actor of hers), but the real reason I got it for her was because it had story, a detailed world and combat which didn't require you to use reflexes over decision making, things she likes in a game. Four years later and she's still playing it and discovering bits I never have, we get to bond and geek out about these experiences just like we talk about the latest episode of The Walking Dead, the latest Hobbit film or whether we should go to OxonMoot this year. These are the things that build a relationship.
So yeah, my point is: work out what she's into, actually talk to her and ask her about this stuff. If she's into games you haven't heard of then give them a try and see if you can see what she's into and then recommend more stuff along the same lines that you enjoy too. From your list it seems you're very much into RPGs, that's not a bad start, see if there are rpgs that she might be into too (again, I recommend turn-based stuff, but that's a choice valid to my situation, not necessarily yours). If you're in the kind of situation where you play and she sits and watches (I know some people do this, I've certainly done it with friends) then hand over the controller and ask if she'd like to try.
There's a certain intimacy which occurs when you share your hobbies with someone you love, be it watching them play a game, talking about a film or TV show you both enjoy or even just talking with them about your experiences with a hobby they don't participate in (to a point, my girlfriend likes to hear about my tabletop RPG campaigns, less so about my dice rolls or leveling up strategy) I'd encourage you to share your passion for games with her, and allow her to share her passion for games with you. She might just surprise you with what she's into.