There are many different DVD cases that hold multiple DVDs. Here's
the 4 DVD type that has the size (thickness) of a regular single DVD box (14mm). You can print your own custom sleeve for such a box and also print labels for on the DVDs. Loads of software available to do that. You could then put that in a tin
DX has some animal shaped cases here
. Although they are
on the other side of the world they offer worldwide free shipping. They sell the craziest stuff there. Some at unbelievably low prices given that the prices include shipping. Shipping may take a while though. That might be a problem.
When in doubt..... Press the shutter.