First check the md5sum of the file:
md5sum lynx2.8.8rel.2.tar.bz2 
b231c2aa34dfe7ca25681ef4e55ee7e8  lynx2.8.8rel.2.tar.bz2
And if this is correct any of the following commands should work without fail on a default installation of Ubuntu:
tar xvf lynx2.8.8rel.2.tar.bz2
bzcat -dk lynx2.8.8rel.2.tar.bz2 | tar xvf -
bzip2 -dck lynx2.8.8rel.2.tar.bz2 | tar xvf -
(The j option to call bzip2, which you have used in your own commandline, is not normally required by tar in modern versions.)
If the md5sum is different from the one I have given above this will indicate that there is something amiss with the download process and the archive itself rather than a problem with either the tar or bzip2 applications...
Note:
If using lynx to download this particular file (which I believe you have been attempting): on my system, using Lynx Version 2.8.8rel.2 the following produced a good download when tested with md5sum:
lynx -source \
'http://invisible-mirror.net/archives/lynx/tarballs/lynx2.8.8rel.2.tar.bz2' \
> lynx2.8.8rel.2.tar.bz2
References: