The phrase "be packed with" refers to a condition where something is full of items or people to the point of not being able to comfortably accommodate any more. There are several synonyms for this phrase that one may use in writing or speaking to add variety to their language. Some of these synonyms include "bursting at the seams," "stuffed with," "crammed with," "brimming with," "overflowing with," "teeming with," "chock-full of," and "jam-packed with." These synonyms can be used interchangeably depending on the context or the intended impact of the sentence.