The phrase "even games" refers to games or competitions where both teams or opponents have an equal chance of winning. Synonyms for this phrase can include "fair games," "balanced contests," "equal match-ups," "level playing field," or "equally-matched competitions." These terms are often used in sports or other competitive situations where it's important to note that both sides have an equal chance of coming out on top. By using synonyms for "even games," speakers or writers can add variety to their language and more precisely convey the nature of the competition in question.