Wrap your box with thin copper wire (e.g. as used in transformers). Add tape over the wire. Use a circuit that monitors the resistance of the wire.
For extra credit, include some mysterious oozing stuff so it looks like battery acid is leaking.
Also I wonder what effect will corrosion/shock have on the resistance ?
Maybe an impedance or inductance based system with enameled wire would be more robust. So many questions, interesting :)