The term "banjo eyes" is a somewhat outdated term used to describe eyes that are wide and bulging. While it is not necessarily offensive, it is not a term commonly used in everyday language. There are many synonyms that could be used instead of "banjo eyes" such as bug-eyed, bulging, protuberant or protruding. All of these terms can be used to describe eyes that have a distinctively large and rounded appearance. It is important to remember to use language that is respectful and considerate of others, especially when describing physical characteristics.