Alternately, if you were alert enough at your mail fraud you could find a neighbor who is out of the house during the day and use their name and address, and intercept the package from their mailbox. This is, of course, a felony.
2. Once the package is delivered, get to the apartment and tell the owner "Oh, I'm so sorry, I accidentally entered Apartment 123 in my order, instead of Apartment 223, which is where I actually live! I can haz package nao?" Most likely, they will not know the residents at Apartment 223.
3. In most cases, you will now have your package. (If they ask for some ID, you could always go "Sure, do you want me to get that first?", most people will then give you the package right there. If not, just leave and don't come back.)
Yes, this is a purely hypothetical idea, but it seems to me that it's pretty easy to come up with something relatively secure.
1. A layer of indirection a.k.a. finding someone who will receive mail for you without giving up your name.
2. Owning the distribution channel, and using addresses that are downstream of you while diverting your packages to their intended destination.
Note that if the USPS is involved, both of these are federal crimes...
NZ: https://www.privatebox.co.nz
Canada: https://www.bufferbox.com/