Some Jews believe in reincarnation. They are also supposed to accept the Resurrection of the Dead, where actual bodies are resurrected. In that case, for each soul, which body is resurrected?
From To Live and Live Again (see there for sources):
The AriZal explains that each time a soul descends to this world, one of its components is rectified; through successive descents, the soul as an entirety is rectified. Ultimately, each component of the soul will be resurrected in the body which served as its host.
Abarbanel, in his defense of the concept of reincarnation, believes that only the first body that the soul inhabited will be resurrected during the Resurrection of the Dead. That is, although (in Abarbanel's opinion) only select people will be resurrected during תחיית המתים, each soul that is resurrected will be in its "first" body.