Unless I'm being totally dense: this is NOT a harem in any way, shape, or form. If you happened upon this series because you saw "harem" in the genre description and are expecting a harem anime, stop right here and don't watch it. Personally, I would categorize it as more of a romantic, drama, and sci-fi anime.
If you're still reading and do not care that it isn't harem, you'll be in for a pleasant journey.
Story: 9
Probably the most redeeming quality of this anime; thought-provoking, mystical, and just pretty darn good. You can read more about the story in the details section if you're interested.
Art: 7
Overall, it was "meh," but during the scenes when it was necessary to have a good close up or panning shot, the artists really stepped up their game.
Sound: 7
Good voice acting, track, etc
Character: 9
Favorite characters: Takano/Faithful Assistant (I know I misspelled this); camera men charged at documenting the princess's time on earth and going about it in the funniest way possible.
I didn't care too much for our hero, but I thought that the princess's character was much more compelling.
Enjoyment: 7
It does get a little boring in the middle. Not a lot going on and it feels like a bunch of unnecessary episodes stacked on top of each other in a random manner. In my opinion, the last few episodes, as well as the first few, saved this series from being a snoozer.
Overall: 7
I waited for the "harem" aspect of the anime to reveal itself for many episodes and once I finally realized that, "You know, this isn't a harem and I'm totally okay with that," I began to enjoy the entire the series a lot more because I wasn't waiting for something to develop. This is NOT a harem and even harem fans, like me, will find it entertaining.