Who are you hiding from?
1) Customers / public look ups?
2) Your government / tax office ? Who are they
Something else?
Do you want to be anonymous to the agent setting up the company? IF so, your only option is fake documents. To find out more you need to join the mentor group on the board as it is not allowed to be discussed on public board.
If not, then you can go with any offshore jurisdiction that does not have public records. This protects you from (1). You can expand this with nominees so should a court order give up the information it does not show you but the nominees. A step further is a trust / foundation but I don't really understand those so will leave that to others.
If you are wanting to hide from your gov tax office, it isn't the company that is the problem, but the banking.