Binary II
From Just Solve the File Format Problem
Binary II is a file format used for storage and transmission of Apple II files which encodes the file attributes (from any of the various Apple II or III filesystems, such as DOS 3.3 and ProDOS) in a header, allowing the file to be reconstituted at the other end of a transmission with all the directory information intact.
The usual file extension was .bny (which sometimes got pronounced as "bunny"), while versions compressed with Squeeze were commonly found with .bqy extensions.