File archives in BZIP2 format can be converted to TBZ format simply by repacking the former in bzip2 program and compressing it again to the later.
Convert BZIP2 archive file to bzip2 compressed TAR archive file.
We have found one software suitable in our database for this conversion.
Linux/Unix software - convert bzp2 to tbz on Linux
A free data compressor for Linux
Convert from bzp2 file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.