"Get some shut-eye" is a commonly used phrase that means to get some sleep. There are a variety of synonyms that can be used to convey the same meaning, including "catch some z's," "hit the hay," "crash," "slumber," "doze off," "drop off," "rest," "nap," and "snooze." These phrases can be used interchangeably depending on the context or the tone of the conversation. Despite their differences in connotation or level of formality, all of these synonyms convey the importance of getting some quality sleep in order to restore one's energy levels and overall health.