This is something I wanted to do for quite a while but there has just not be a pressing enough need:

A box with a boxy lid with an integrated hinge. The hinge needs to be a bit bigger than aesthetically desirable to allow this:

It could be smaller if it wouldn't use the back wall of the lid as part of the hinge pin. I might add a variant that uses a round dowel as pin - may be using a more traditional hinge made of separate parts.