Probably would be easiest to put how I played through the game and how I reacted to each part. I'd played the Act 1 release demo and that gave me a good idea of how to reach each path. First one I got from the demo was Emi's I'd been more drawn and intrigued by Hanako though so when the full game was released I started with her path. I bawled like a baby through hers

it was touching, interesting and not overly melodramatic, the good ending was a good conclusion point that gave you an impression of the characters futures and not leaving you with the feeling of a lack of closure. I was sure that I'd hit the best of the set on my first path.
Went onto Lilly's path after that and it got to me in a different way, she was more inspiring and I found myself admiring her sense of initiative and playfulness underneath that slightly aloof exterior. The addition of an epilogue was a great idea in her path with the good ending. Her dialogue in the hospital at the end was brilliant, it was ernest, heartfelt and moving.
Seeing as Shizune didn't have a mirror path I thought I'd try hers before moving onto Rin and Emi. Like many others I found it a bit of a let down given that I was expecting another emotional rollercoaster. Perhaps her bad ending gives the final surge that's needed for her path. I can appreciate it as a more laid back path where you're just sounding out a potential partner, getting to know each other and how to be comfortable around one another. Not a bad path, just a different tone.
Rin's was the most frustrating as a lot of Rin's personality was present in someone I'd been seeing a couple of years ago. I found myself making the same choices that I would have back then. Ended up badly which made it all the more frustrating. Her Raison d'etre segment was fantastic. I just felt a little hollow playing her path due to the personal connection with her kind of personality and outlook. Very interesting and moving path though.
Emi's made me laugh, it was both fun, sad, playful, moving and believable. The path was written as a relationship with ups and downs, goofy moments and attempts at seriousness. In short it was something that I could identify with. I think it had better pacing than the other paths as well. Quite an inspiring if reckless character as well.
I enjoyed all the paths for different reasons, the one that got the strongest positive reaction from me was Hanako's though. The one that made me think the most was Rin's.
I'm hoping this thread continues for a while also. I'd love for more people to give KS a try and explore their outlooks and what they've taken from it.
Lilly's path is really worth doing as both a compliment to Hanako's as well as for it's own strengths. Hanako's can be really draining, Lilly's is a nice counter to that.
Give yourself a break then give Rin's a try but do be prepared for an awkward and at times very sad and frustrating time.
I'd been waiting to see if Rock Paper Shotgun were going to cover KS, they got the wrong person to take a look at it. Admitedly it wasn't a review per-se. It just felt like lazy writting though. I'm not a fan of John Walkers non-industry related writing but this did stand out as a particularly weak piece. I'd have loved to have read Quinn's impressions ever since reading his Three Parter on Pathologic, another game I have a deep fondness for.