The K Project anime series has a promising premise and themes, but doesn't do a very good job of executing on that promise.
In the world of the K Project, superpowers have begun to manifest in a small portion of the population. Most of that power is concentrated in a few individuals known as Kings, with a larger number of lowered-powered individuals forming clans around the Kings. The effect is limited to a small portion of Japan (for reasons made clear as the series goes on). The first season of the series focused on a murder mystery that leads to a conflict between Kings, while the second season expands to a larger conflict between more Kings. There's also movie in between that fills in some gaps between the two seasons.
The problem with the K Project, in my opinion, is that it constantly undercuts its own story and themes. The logic behind the Kings alone is inconsistent and confusing. There's mention of seven Kings, but the story never tells us who they all are. Each King is associated with a color and theme (red for chaos, blue for order, etc) but some don't seem to have a theme (like the Gray King) and one has no color. Supposedly the death of a King leads to a new King being chosen, but sometimes that doesn't happen for no apparent reason (such as the Gold King). Each King has a giant "sword of Damocles" that sometimes hangs in the sky above, which are never explained except that we know it's bad if they fall. There are several flashbacks that fill in some of the history leading to the Kings, but they leave so much out that it feels like we're only given a few random glimpses.
It's not just the Kings, either. The visuals are beautiful and largely take the subject matter seriously, but occasionally veer off into ridiculous fan service territory with panty shots and bouncing cleavage. Serious themes like abuse of power and order vs anarchy are raised in the story, but they're used only as excuses to get clans battling rather than explored as complex issues.
There are some manga serializations and novels that are set in the same world. It's possible that the missing bits that I've mentioned above can be found there. If that's the case, I think they really should have somehow tied that into the anime - a simple mention of the manga stories in a post-credits scene would have sufficed.
The K Project isn't a bad series, but it could be much better in so many ways. There are better things out there to watch.