Agree with you for the address of his household, which is directly linked to the identity of the person. (more precisely: untie the person from their household and, if they were the only person in their household, remove the household?)

For Christian life information: identification based on this information is no longer possible without referring to the registers, which is reserved for a few specific people. This information seems useful to me for statistics (it is one of the purposes of anonymization). So I would keep them.