Even though it isn't tagged as such, there are several bits of the Alice in Wonderland elements incorporated. The anime itself has a cute, happy vibe going, at least after the first few episodes. I would could this to be more unique than generic, as there are several things done differently from what you would expect.
The story is rather unusual. Your first 5 episodes lean more towards a dark and partial action theme. Oddly enough, episode 5 feels like it could be the ending of the anime, but it isn't. From there on, the anime turns more into a daily life situation. This is where that happier vibe comes into play. The purpose of the story is mainly on alice, who is learning about herself and who she truly is, and how she fits into the world. To go along with that, herself and a few others have a unique ability to use magical abilities such as summoning weapons or teleportation via the use of a magical crystal.
I found large segments of the last 2.5 episodes to be slightly more boring, as they strayed away from the world we were familiar with. On the plus side, they incorporate that Alice in Wonderland concept.
The ending has the largest surprise, and not something easily caught at first glance. It captures the progress of Alice well, but at a cost. Needless to say, it is doubtful there will be any seasons beyond this one.
I found the graphics to work well for the type of anime, they use softer coloring and simplistic looks to give it a cute and relaxed theme. The faces are a bit derpy looking and some of the drawing may be a bit too simplistic at times, but it ends up feeling good when combined with the theme. The music also stood out, the opening theme is lovely, and throughout there are several nice songs played.
When it comes to characters, people will no doubt appreciate Zoroku, as he isn't your generic anime character, but rather an older guy. The interactions between him and Alice are no doubt interesting, is it is far from your standard anime set-up. Along with them there will be his daughter, and some other people with the magical crystal ability users. None of those have a large presence, the anime relies heavily on Zoroku, Alice, and Sanae.
Overall, it was a pleasent surprise and very unpredictable. The initial appearance might not fit exactly what you expected. Give it a few episodes, it is quite a tame anime that I would say is happiness.