Obviously I am the diehard Ever 17 fan around here.
Divi-Dead was also a big favorite in my book but if you’re put off by horror/gore you may want to skip it (I’ve seen much worse, but there are some scary bits).
Heart de Roommate is a good one to play with your girlfriend, it’s very friendly and a lot like an anime, with some sex scenes included.
I would be a die hard Ever 17 fan if I, like, played it. I’m playing Longest Journey (among (many) others) right now and that’s almost assuredly just as good (yes, I feel comfortable saying that even though I’ve never played Ever 17).