There are a number of synonyms for the phrase "make a sacrifice". One common alternative is "give something up", which describes the act of willingly letting go of something valuable or important as a form of self-denial or devotion. Another potential synonym is "offer something up", which portrays a similar sense of giving something away as an act of worship or sacrifice. Other possible synonyms include "forsake", "relinquish", "cede", "abandon", or "renounce". Each of these phrases captures a sense of letting go of something significant, whether it be a possession, a desire, or a cherished relationship, in order to achieve a greater good or higher purpose.