All spoilers for the game will be left unmarked in the trope examples below. You Have Been Warned!
Kaede Akamatsu, the Ultimate Pianist, awakens inside a locker in what appears to be an abandoned school building with no idea how or why she ended up there. She soon finds a boy stumbling out of a different locker, who also doesn't know how he got there. He introduces himself as Shuichi Saihara, the Ultimate Detective. At the behest of five bear-like mascots calling themselves the Monokubs, Kaede and Shuichi explore the Ultimate Academy and meet 14 other Ultimate high school students, the very best in their fields selected by the government's Gifted System. Soon, however, they are introduced to the Monokubs' "father", Headmaster Monokuma, who explains to the sixteen Ultimates the rules of their new lives: they are trapped inside the Ultimate Academy for Gifted Juveniles, and the only way to escape is to kill one of their own and successfully get away with the crime in a class trial.
Kaede soon discovers that they are indeed trapped, and she, Shuichi, and the other Ultimate students are forced into playing Monokuma's sadistic Mutual Killing Game, with the Monokubs piloting Humongous Mecha called Exisals to enforce the rules.
The game retains the same basic set-up as Danganronpa: Trigger Happy Havoc and Danganronpa 2: Goodbye Despair, with once again the story being divided into segments of Daily Life where the player interacts with the other characters, and the investigations and trials where it must be deduced which one of the students is a killer. Many elements, however, have been updated, with many technical aspects changed, multiple testimonies displayed at once during debates, "Debate Scrums" where the students split into two sides in a debate and the new ability to utilize "lies" to solve trials. And, while Monokuma has once again returned, it was announced pre-release that previous characters will not make an appearance, with the setting being Hope's Peak Academy's Spiritual Successor.
Danganronpa V3: Killing Harmony provides examples of:
General examples
Tropes with their own pages