The phrase "strut one's stuff" refers to the act of showcasing one's talents or skills. The word "swagger" is often used as a synonym for this phrase, as it denotes a confidence and self-assuredness while displaying one's abilities. Another similar term is "show off", which can carry a negative connotation in some contexts, but simply means to exhibit one's aptitude. "Flaunt" is another option, which emphasizes the act of displaying oneself or one's accomplishments. Additionally, "shine" or "stand out" could be used to suggest that someone is impressing others with their abilities. Regardless of the phrase used, the meaning remains the same: demonstrating one's capabilities to those around them.