Synonyms for Private (same or very similar meaning)
WordNet sense 1 (an enlisted man of the lowest rank):
buck private, common soldier
WordNet sense 2 (concerning one person exclusively):
individual
WordNet sense 3 (concerning or affecting a particular person or his or her private life and personality):
personal
WordNet sense 4 (hidden from general view or use):
privy, secluded, secret
WordNet sense 5 (not invested with or related to prominent position or status etc.):
nonpublic
WordNet sense 6 (entrusted with private information and the confidence of another):
confidential
From the ODE community, based on WordNet
add/edit