Board Thread:Naruto Discussions/@comment-27924806-20140711165647/@comment-945885-20140711203900

Viz translates it as reincarnates, IIRC, but if you wanted to use it as a classification, there are other issues... there are characters who have "transmigrated" through other means: Fushi Tensei, Edo Tensei, Kishō Tensei, Ryūmei Tensei; all use the same term, albeit with different connotations.

Though, perhaps they and their hosts also warrant unique classification?