For a pre-CMOS era game like Asteroids (I don't think there are any CMOS devices on that board, at least), just the pink "anti static" poly bag you're using should be fine. No real need for the full aluminum material shielding bags, but of course it wouldn't hurt. Do not use aluminum foil. That's too conductive and can cause major problems if there's a battery, etc. It's also difficult to get several sheets of foil, which you'd need for a board this size, in good contact, which ruins the shielding effect and may just channel ESD zaps to parts of the board.
That otherwise looks very well packaged. The double box is key: the outerbox takes the abuse and doesn't allow direct transfer to the inner box which prevents torquing the board. The only other real suggestion is to plywood to keep the entire assembly from being bent, but that's probably going overboard. Insure it, of course, but I should hope it would get there in one piece with all that packing. Take lots of pictures as you pack things up in the event you need to make a claim. UPS and FedEx (USPS less so) will always try to claim that there was "inadequate packaging".