For the history of the Spring and Autumn Period and the Warring States Period, of course, the first is the three biographies of the Spring and Autumn Period (namely, Zuo Zhuan, Yang Gongzhuan and Gu Liangzhuan) and Historical Records. Among them, Spring and Autumn Annals is a chronological history book, while Historical Records seems to be more in line with your requirements, because it is biographical.
The Warring States Policy describes the struggle strategies of various countries during the Warring States Period, but I personally think that it is not a historical book (although it has historical value), and it is not rigorous enough by the standards of historical books. Its purpose is not to record history, but to focus on "strategy".
The books on it are all very old. If you find it difficult to read them, you can try the History as a Mirror mentioned on the first floor (choose the historical period you are interested in). Classical Chinese in this period is easier to read.
In addition, you can look at the history of the Eastern Zhou Dynasty. The advantage of the novel is that it is very comfortable to read, which allows you to get a general understanding of those people and events in the Spring and Autumn Period and the Warring States Period in a relatively short time.
If high school students have a good foundation in classical Chinese, they should have no problem reading historical records. If they are poor, look at Historical Records of the Eastern Zhou Dynasty first.
I didn't understand in Wei and Jin Dynasties.