We do. We have vast amounts of data that we merely have to keep around for a decade or so for compliance purposes that would rarely be accessed, so it goes on tape and off to Iron Mountain. Then we have backups where we need to be able to recover a running system from some 'known good' state, which is somewhat complicated. The former is conceptually tape drive+tar/cpio/etc.; the latter is an expensive setup that includes some proprietary solutions.
