A rigid box is unforgiving. Unlike a folding carton, it has no give — a half-millimetre error is visible to anyone holding one, and it cannot be corrected on the line. That is why board specification carries more weight here than in any other paper format.
Thickness is the first decision. Most premium retail work sits between 1.5 mm and 3.0 mm greyboard. Lighter reads as cheap in the hand regardless of finish; heavier costs money and freight without adding perceived quality past a point.
The wrap is where brand character lives, and where cost varies most. A litho-laminated printed wrap gives full-colour freedom. A specialty or cloth wrap gives texture that print cannot imitate, but limits you to foil and deboss for branding.
Lid geometry is the detail most often under-specified and most often the cause of complaints. A lid that fits too tightly becomes difficult to open; too loosely and it reads as poor quality on the shelf. This is the single thing worth resolving with a physical white sample rather than a drawing.
Our rule of thumb: spend on board thickness and lid fit, be selective about finishing. A well-constructed box in a plain wrap outperforms a thin box covered in foil, every time.