Lots of packing is the best thing. get a big sized box andfill it 1/3rd full of newspaper, bubble wrap or what ever packing you have, then put in your Amiga then fill the rest.
Paper is horrible for packing material unless you don't care about the contents of a package. After all, if you drop something on crumpled newspaper, how much resistance does it have? Very little.
I always use a combination of bubble-wrap and the styro stuff.