Debut is the French-derived word for a formal introduction into society, and it is sometimes used when discussing the coming-of-age presentation associated with a quinceañera. The connection reflects older social customs rather than a universal requirement of the birthday celebration.
A debutante traditionally refers to a young woman formally presented to society, especially in European and elite social settings. Quinceañeras can also involve a public presentation of the celebrant, but the two traditions developed in different cultural contexts.
Some descriptions compare a quinceañera with a debut because both may involve formal clothing, escorts, family introductions, and a carefully staged event. They should not be treated as identical ceremonies. A quinceañera is specifically tied to a fifteenth birthday and Latin American or Hispanic cultural traditions.
Encore means an additional performance, ballet is a dance form, and parade is a procession. None carries the specific social-introduction meaning of debut.