Fighting games are always a good bet as they do have local MP still. Tekken can easily be played by button mashers, unlike MK or SF, maybe that?

You can always try boxing game for motion controllers =p

Telltale games as they are very simple to play in general.

Some games on the style of Mario World, alternating the player.

I forgot about on-rails shooters for the Wii, they are also a good choice. Games like Resident Evil Darkside Chronicles or House of the Dead. Halloween is near, so that's a plus.

Mario Kart and Mario Party-type games are good for situations like this. I play them with my nieces and other non-gamers from time to time. They're a lot of fun. I think Kart 8 and Wii Party U are my most often played Nintendo games even now, years later, because they're great for play with family.

My girlfriend never played games, so I've been introducing her to some nifty stuff. She played some games as a kid, but aside from that no experience, and she also had issues with the controllers (PS4 worst offender).

I'd start out with the Wii, but you probably have. Aside from this I really recommend some of the Lego games on PS4 to get her used to more complicated controllers. We started with Lego Harry Potter and she loved it (I was monumentally bored sometimes, but I do like how excited she got about it, so I kept playing Co-op with her). She told me that that game really helped her understand the controller. Very friendly pace, still enough to do to get her entertained.

I highly recommend watch this video, you'll find it cute and maybe extrapolate some ideas from it. Yoututber who lives with his wife, showing her games, and then he makes a video essay on how he realises that we've learned a "game language" that we take for granted when playing games. His wife acted a lot like my girlfriend (every successful jump in Mario was a miracle!)

Play Hide the Bishop

But it is soooo simple to remember the differences of the button layouts of Nintendo, Microsoft and Sony:

Press X to not die... so the lower button? Or the left one? Or the upper button? Which system are we playing on again?

Ah, I found it! it is the smaller button on the upper left... that's a tilted X, right? Or is it a "plus"?

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Just play something with her, where reaction times or press ing the wrong button now and then doesn't matter much.

Some games with a good story she enjoys, f.e. the three "Life is Strange" games, some Telltale games, Heavy Rain, Beyond: Two Souls, Detroit, Until Dawn, Man of Medan, Erica, Hidden Agenda...

I was going to post this. even for someone who is playing all 3 regulary it can be confusing. the worst is if I play assassins creed on pc with my dual shock 4 and xbox button layout while those button are white like on the switch / wiiu.

My wife and I played chariot, peggle, peggle 2, clash of heroes, splatter and some portal Co op