Ok, I have watched all TV episodes of Kokoro Connect now (13 episodes), and I have to say that I just love it and if you like the "a person's identity" as a theme you should totally watch it. It is everywhere advertised as a "body switching" anime, but body switches are just the first arc and the anime will go through other supernatural themes that reveal more about the character's identities and pasts too.
Looking forward to episodes 14-17 (Blu-ray release). Seriously tempted to read the light novel series.
WATCH IT IF: A person's identity is an intriguing theme to you and you like well-written, multilayered characters.
DON'T WATCH IT IF: You are searching for a mindless moe anime or exploding action. If you don't like realistic anime (characters).