There's a visual novel series that you may be familiar with even if you live outside of Japan. It's called the Infinity series. As the only part of the series localized in English, Ever 17: The Out of Infinity became a cult classic amongst those in the know. It has its dating sim elements, but is mostly famous for its "you might need a degree in theoretical physics to fully wrap your head around what's going on here" story, which I won't go into detail about for the obvious reason that you should also go and experience that if you haven't yet!
Anyway, Remember 11 was the next chapter in the Infinity series. Though it was released quite some time ago now, and two more VNs which are technically from that series have been released (12Riven was the last to be written by the same lead who worked on all of the others, and for a story-driven series, that's kind of important), I bring up Remember 11 now both because it tops the also excellent Ever 17 in terms of story quality and intrigue, and because there's an English patch out there finally; a project years in the fan-translating oven. And I feel, as the title suggests, that you should bloody well experience this regardless of who you are, though especially maybe if you're coming fresh from another visual novel (with the only similarities being they're both quality products). I'm mostly posting this to boost awareness of another awesome visual novel now that a few have cropped up in discussions here on Giant Bomb.
Whereas Ever 17 had way more of a dating sim aspect to it (you had to follow every girl's route to get to the true ending, too), Remember 11 drops that for the most part, pretty much playing up one single romantic plot and even throwing that on the backburner. This one is all about the story. And like Ever 17, this one is even more so a "you might need a degree in theoretical physics to fully wrap your head around what's going on here" scenario. There are tips to fill you in on the technical jargon, so all the pieces are put in place for you to understand what is happening even if you don't (of course).
I don't want to spoil anything, but I want to figure out some way to covey to you how fantastic the story here is, and how it's something that can only be experienced in the visual novel format. There are many, many bad endings here, but you want to see them to understand. Everything that happens fills in an extra piece of the puzzle. The story is so gripping that I spent a good 3 years waiting, checking the translation project website and reading every bit of translated text as it came.
Without trying to sound like I'm trying to sell the game (all I really want is more people to talk about it with), the premise is split between two people.
Kokoro: A college age student of sociology, flying overseas to meet and study a murderous patient being held for treatment at a remote, isolated rehabilitation clinic called SPHIA, whose plane ends up crashing onto a mountain in the middle of a terrible blizzard. Kokoro wakes up in one of the mountain's shelters along with 3 other survivors. They're all forced to survive the harsh climate and hope for rescue.
Satoru: A man who wakes up with amnesia within SPHIA, after a fall from the facility's belltower (and no, it's not the same as every other amnesia contrivance story, otherwise I wouldn't be impressed enough to write this). Satoru tries to piece together his memory, while in the meantime an unseen killer within the facility continues to make attempts on his life.
Then there's the part where the same kid shows up at both places. And then the part where Kokoro and Satoru mysteriously swap consciousness at seemingly random periods of time, experiencing things through the other person's body. So while both characters have their own separate paths (you're locked to Kokoro first), their stories intertwine with one another heavily, probably more so than you'll initially guess.
Those descriptions don't do the VN any justice, but like I said, I can't really say too much without giving away pieces of the plot, and I got the most out of it by going in fresh, with my only experience being from Ever 17 before it. But of course, if you have played it (or Ever 17), I'd be happy to hear some story discussion (anyone?).