I don't really know in which specific category of anime this series belongs but it is a weird mixture of romance, drama, and scholarly animations. In summary, it is about a student that wants to transform a classroom of useless people into the best one of its school. This is done by a system of points in which every classroom gains a certain amount of points depending on how they perform on certain tests. These points accumulate and, depending on your amount of points, the classroom gets a specific denomination from A to D that can be related to socioeconomic classes, being A the best one and D the lowest one.
The strong points of this series and the reason that I liked it a lot are its characters (especially the MC) and the plot twists that it presents. The characters are really dynamic and all of them have complex personalities that make them extremely interesting. Then, the story manages to create an interesting story that grabs you from the first episode with an unexpected plot-twist until the end where the MC shows how intelligent he really is and what his intentions are.
But, not everything is good with this anime specifically for its ending. The problem with it is that it is an open ending that leaves almost no answer for anything that the series was building towards. This is an issue as there is any confirmation of a second season.
In conclusion, the Classroom of the elite is a really good series with amazing characters and an engaging story. But, this story gets cut halfway and it ends up incomplete. So, if you want to watch it keep in mind that you will be left with no real conclusion and with almost every question without an answer.