Does that mean that the bottom of the box is accessible? How about making four holes in the bottom near the corners, then having something like a small "table" with short legs that sits in the bottom of the box with the legs going through the holes. Now, put soft compression springs over each leg so that the legs only just poke through when the box is empty. But a parcel with any significant weight will push the legs through further and you will be able to see them.
For something more ready-made, I've seen little battery lights operated by a microswitch, meant for fitting inside drawers or cupboards and coming on when they are opened. Could you adapt something like this to be operated by the weight of a package?