Since that other thread was disappointing in regards to actual info on how to pack a bass, share your tips here. I've send a fair few basses now, and done ok for damage.
Pack like the courier is planning on damaging it.
If they are OK with shipping with the neck off, do it. Shorter, but still weird shaped package. Bubble wrap the neck and body separately, then attach them together, in such a way what hardware isn't going to scratch or gouge, and with the tuners facing 'inwards' as it were, they are a weak point. I tend to masking tape the neck plate and screws in the neck pocket. It also makes it look a bunch less like an easily Cash Convertible musical instrument.
Masking tape the innermost packaging rather than parcel tape, no stickiness on the bass (I often masking tape rolled up bubble wrap to key areas, before the wrap around part). Also means easier to open up, less temptation for risky sharp things close to the bass.
Take off the strap pegs. A good dropping will hammer these into the body wood, best taken right off.
Wrap a bunch of packing and some card around the machine heads, then pack the whole thing over that, they are such a weak point.
Cling film is really handy for securing things together, but it isn't protective against much. Cling filming various parts together is great, but they still need some sort of impact protection.
Loosen the strings, and put something between them and the body/neck, they can fairly easily get hammered into the frets or other hardware.