I like that they weren't overplayed and over-dramatized, which could be why they didn't grip you. MAJOR SPOILERS AHOY I never felt like I was being manipulated to feel sympathetic for "the tragic glasses girl" due to her hospitalization/illness, nor is a massive deal ever made of it, nor is it ever used as an excuse when she acts like a dick. Likewise her bisexual revelation and feelings toward Touko never leads to some melodramatic climax of romantic angst, as it would do in 99% other anime. It just is what it is, the character's involved just accept they have to live with this less than idealistic circumstance and move on, just as you feel most reasonable people would do in real life too. The runner guy never declares his love for his step sister or whatever nor are we given any explicit evidence of romantic intention towards her from him, we just get subtle hints that he may be appreciating her more, even if he doesn't quite seem over Touko. There's never any grand and neat resolution there, it's just kind of awkward between him and Touko for ages, and then they just realize they have to accept it for what it is. And Touko and guy in the blue t shirt guy's relationship is just an ambiguous, if not more so, as everything else. Not to mention how ambiguous the "visions" are, and the multitude of ways they can be read.
In short: This is an anime that I found to be simultaneously touching, and as real as real life. If real life were set in an idyllic Japanese anime town exclusively populated with beautiful (both inside and out) people. But they are flawed, uncertain, and very human people.