I have a tendency to hoard packaging. As in I am an actual hoarder. It stays around awhile until I can force myself to let it go. Thankfully I have gotten myself to the point where that period of time is between two weeks and one month. I used to hang on to it for years before I started therapy.
If it's particularly cute or if it's really useful for storing the toy (or if I can find an alternate use for it, like the Evolved tins), I might keep it for awhile, but I eventually end up getting rid of it.
If it comes in a cloth bag or a fancy box (njoy plug)...... or a nice tube thing (mustang).....I don't keep paper packaging (oh snap except for my ophoria, it didn't come with a bag and the foam insert thing is too convenient).