There are numerous synonyms for the phrase "show a performance" that can be used in different contexts. To begin with, expressions like "put on a show," "give a presentation," or "perform on stage" can be used when referring to a theatrical display or musical concert. Alternatively, when discussing sports events, "deliver a performance," "put up a good show," or "compete at a high level" can be utilized. On the other hand, when it comes to demonstrating a skill, the phrases "showcase a talent," "demonstrate an ability," or "exhibit mastery of a craft" can be used. Ultimately, the choice of the synonym for "show a performance" depends on the context and the type of performance that is being conveyed.