At least one college does not require a major (Evergreen State), and a few others have a curriculum that may be considered by some to be a highly specified general studies curriculum, although others may consider it to be an interdisciplinary major that takes up all or most of the curriculum (Saint John’s College and other “great books” colleges).
For some (employers or otherwise), having a major (in anything) is an indication that the college graduate is able to focus on a subject enough to study it in depth to a moderately advanced level. Of course, some may place greater or lesser value on this aspect of a bachelor’s degree.