The people working in the company are anonymous from design. There are forms of LLC that hide the owners as well. Trade name is already a form of pseudoanonymity, and it's the highest level of anonymity that can be achieved. The company itself must be publicly known, at least for contract and tax reasons.

Buying stuff from truly anonymous provider isn't possible. From a legal standpoint you basically transfer money to them for fun. Since, you know, can't enter any agreement with unknown entity.