(Epistemic status: I don't actually know anything about Chinese literature, and I welcome correction on this point.)
Another good option is Romance of the Three Kingdoms which will cover a good portion of Chinese history (in a mythological way). A lot of the characters like Zhu Geliang [2] are still highly influential in modern Chinese culture.
[1] https://en.wikipedia.org/wiki/Sun_Wukong#Influence [2] https://en.wikipedia.org/wiki/Zhuge_Liang
Oral traditions tend to be divergent and mutable.
Even such changes as the introduction of the printing press, and cheap paper, had profound impacts:
• Copies were now letter-for-letter identical.
• Reproduction costs fell by 2-6 orders of magnitude.
• Translation to the vernacular became viable. It was cheaper to bring the book to the reader (translation) than the reader to the book (learning Latin, Greek, French, German, Italian, etc.).
• Literacy grew -- from 5-10% in 1500 or so to 95%+ by 1900.
Of course, the number of published works grew, as did the literary canon, to the point it's a largely meaningless term (or has been subsumed by pop culture).