This is perhaps not so much a review as an effort to point out that I found the plot summaries and synopses, both here on MAL and on other sources, to be misleading in one respect. Even the description on the DVD/Blu-Ray case is guilty. The problem here is that these sources implied that the body-swapping phenomenon is a pervading theme throughout the series, which isn't really the case.
The story revolves around the five students who form the Student Cultural Society, and the mysterious entity Heartseed. That much is accurate. Heartseed subjects the five of them to various phenomena that either place them in difficult situations that they have to figure out how to deal with, or forcibly exposes thoughts and emotions to others in the group (and sometimes outsiders) that people normally rely on being able to keep to themselves. The first such phenomenon is the aforementioned body-swapping, which represents the first story arc and runs for five episodes, but then never happens again. The remaining eight episodes have two more story arcs, each involving a different phenomenon they have to figure out how to deal with, and a fourth is addressed in the four-episode OVA, "Kokoro Connect: Michi Random", but no more body swapping (at least in the anime; I can't speak for the additional volumes in the light novel series these are based on).
Since I'm here, some actual review content. Technically and artistically, the series is above average. The English voice acting was all well done. The series is very much a personal, emotional drama, so judge for yourself whether that's to your taste. There were times when I thought the characters' behavior and emotions went over the top and got overly melodramatic, but on the whole it's hard to imagine how well I'd handle the situations they were in, especially considering at least some of the StuCS members came in with emotional baggage and past experiences that added complexity. Finally, there were a couple of significant story elements that were never adequately resolved.
Despite my mis-impression about the body swapping, I don't think a problem with the summary descriptions should be counted against the anime itself. I was hooked on the characters enough to be drawn along for the rest of the ride. Definitely recommended.