Smug looks can be described in a number of different ways, depending on the particular context and tone. Some possible synonyms for smug looks might include arrogant, conceited, self-satisfied, superior, complacent, egotistical, haughty, and overconfident. Other expressions that might be used to describe a smug look include a smirk, a sneer, a grin, a smirk, a grin, a grin or a smirk with raised eyebrows to indicate a sense of smug superiority. Ultimately, the choice of synonym will depend on the specific nuances of the situation and the intended effect on the reader or listener.