There are several synonyms that can be used to describe the phrase "become universal". One such synonym is "become widespread", which implies that something has become popular or common in many different places or among many different people. Another synonym is "become ubiquitous", which suggests that something is present or found everywhere. "Become global" is another synonym that conveys the idea that something has spread across the world. Lastly, "become mainstream" is a synonym that suggests something has become widely accepted and adopted by society. These synonyms can be used interchangeably to describe the idea of something becoming universal.