When you make a show based on a video game, you really gotta do it right and make it the show more attention grabbing then the video game. Kancolle the anime does this well in that it's got more personified versions of the shipgirls that all the players love. The anime also has a great original Opening theme. In fact, the opening is one of the best things about this show.
The references and story within really add to the emotional impact it leaves on the audience. Good Originality is hard to find these days, but it is great in this case, and for this reason it is rated 8/10. Oh, and the actual anime is okay, too, I guess. 3/10.
