My girlfriend likes jrpg games… I think you could try thoses… There are plenty. Final fantasy etc. Can play with an emulator.
Otherwise she loves Tetris! Playing against her is a ton of fun.
Doki Doki litterature club (visual novels that is kind of funny, I played it with my girlfriend)
Spyro the Dragon (my sister just play this and the Sims lol)
Niche but very valuable for me is: symfonium which is a very complete subsonic client. Prana Breath is a lean but featureful breathing app with a ton of different exercises from beginners to advanced yoga practitioners
Both apps are android only and are miles ahead of anything iphone can offer which is worth being mentioned imo.
Dark Souls 1 can be emotional with a strong and deep atmosphere but the narration is kind of loose.
Shenmue 1. Really special game focused on the feeling of losing a relative with emphasis on the story. Tons of bittersweetness in that game.
Resident Evil HD remaster has some very sad moment, even if overall it is more scary than sad.