"Looking smug" can be conveyed in various ways. Synonyms for this phrase may include "grinning arrogantly," "looking self-satisfied," "smirking with satisfaction," "flashing a conceited smile," or "looking pleased with oneself." These similar expressions all imply a sense of superiority or satisfaction with oneself that may come across as irritating or condescending to others. Other synonyms that can convey a similar meaning include "swaggering," "strutting," or "preening," all of which imply a sense of overconfidence or haughtiness. When attempting to describe someone who appears smug, these synonyms can help to convey a more precise and nuanced understanding of their demeanor.