"Broken Stars" is a follow-up to "Invisible Planets," both anthologies of contemporary Chinese science fiction in translation. Ken Liu, the translator, mentions that he's tried to branch out and include stories both shorter and longer than the extremes of "Invisible Planets," as well as those that didn't originally appear in genre outlets.
The forward warns that some of the allusions might not be very accessible to Western readers, but I found that lots of the stories drew on a shared cultural context for modern SF fans. Throughout the book you can find mentions of Alan Turing, the Western zodiac symbols, the Greek constellation Delphinus, Harry Potter, the starship "Enterprise," Arthur C. Clarke, Marvin the Paranoid Android, the Sims, the Gospel of John, Dali's weird clocks...and, yes, a lot of Chinese history, both eras I have some knowledge of ("The Three Body Problem" informs most of what I know about the Cultural Revolution) and those I don't (the Five Dynasties and Ten Kingdoms period plays a prominent role in one story.).
While quality isn't always quantity, in this particular book I tended to especially enjoy a sense of playfulness and imagination that came through in the longer stories. My favorites were:
"What Has Passed Shall in Kinder Light Appear," by Baoshu. This is the pseudonymous author who wrote the "Redemption of Time" fanfic-turned-unofficial sequel to "The Three Body Problem" trilogy. It won't take you long to figure out the conceit of this one, but I'd still recommend going in blind if you want to experience the "a-ha!" moment of the intriguing premise.
"My allegiance will always belong to His Majesty, the Glorious Bullshit King."
Unsatisfied with this answer, the patrol threw the robot in jail as a spy.
"The First Emperor's Games," by Ma Boyong. It's about Emperor Qin Shi Huang and his struggles with computer games. Liu notes that "liberal use of Wikipedia may be necessary for some readers," but I definitely related to the emperor's struggles with Civilization, the game.
"A fourth servant placed a mouse and a keyboard--wireless, nothing but the best in the palace--in a sandalwood tray and brought them to the emperor. A fifth servant knelt before the emperor--his robe was made of the same material as mousepads--and presented his broad, flat back to the throne."
And a qualified rec: "Goodnight, Melancholy" by Xia Jia alternates between a near-future woman taking care of childlike robots while struggling with depression, and a fictionalized version of the life (and death) of Alan Turing. Sometimes stories like this that pause for infodumps to talk about the RL history or alternate history behind the science can get kind of boring; however, this story takes just enough liberties with Turing's later computer projects to keep you on your toes. (For instance, it's true that Turing programmed a chess-playing algorithm and implemented it via pencil and paper because he didn't have the hardware to run it.) Xia Jia explains some of the fictionalizations in an author's note.
Alan: Socrates has been dead for more than two millennia!
Christopher: Oh, I'm sorry, Alan. That makes me sad.
Overall, I enjoyed this! If you liked the whimsical anachronisms of "The Circle" (one of the "video game" chapters from "Three-Body Problem, adapted as a standalone), I think you'll find lots to enjoy here.
Bingo: will probably use it for "two or more authors" (they specifically say that anthologies count!) Could also work for: 5+ short stories, I think probably "Award finalist but non-winner?" (going by this page), author of color, no "ifs ands or buts" in the title.