The phrase "show oneself" can be replaced with a number of synonyms that convey similar meanings. For instance, one could use the term "make an appearance" to indicate that someone has arrived or become present. "Reveal oneself" or "unveil oneself" are also effective synonyms that suggest a sense of unveiling or disclosing something previously hidden or unknown. Alternatively, one may use "present oneself" or "introduce oneself" to indicate a form of self-presentation or introduction. Ultimately, the choice of synonym will depend on the context and intended meaning, but these options can help add variety and nuance to one's vocabulary.