Before the weekend I went to a store of all kinds of plastic bags and bought 2 kg of PVC shrink bags, 40cm and 55cm in width that fit most Tamiya box sizes. The shrinking material is sold in a bulk package of 200 meters, just too much for any DIY buyer so they can also split it in kg, that's why the measurement.
The shrink material is in a tubing form before packing, so 1. Measure and cut the desired length (box width+1/2 height+5cm) 2. Seal one end of the bag that properly cut 3. Slip your NIB into the bag 4. Seal the other end of the bag 5. Cut and seal the excessive material at the four corners 6. Shrink it and enjoy!!
The shrink packing helps protect the paper box, parts, tires from moisture and oxidization since it's almost a vacuum state inside the box if properly sealed. Also it keeps the dust and any substance in the air away from the box.
You need a heat gun(better) or a hair dryer to do the job, as well as a handy or table sealer.
**The film I used is something called PVC, cheap and available, it's rather stiff and brittle if shrank. The original TamiyaUSA shrinkwrap applied another material called POF (Polyolefin), which is much softer, and expensive, mostly done by machine. This may help to verify what you have on hand.