The Dell 2001FP Flat Panel LCD monitor ships in a box like this. It's very well protected by structured styrofoam inside.
The parts packed inside the box include the stand, the flat panel (still covered by its protective cover in the picture) and all the cables that might be needed, including the power cord.
A CRT monitor arrives something like this Samsung 955DF 19" Dynaflat monitor which was shipped in its own box. It's very well protected by structured styrofoam inside, so I don't see this as a concern.
The parts packed inside look quite a bit more familiar than the collection of items that were in the Dell 2001FP flat panel monitor box. They include the base for the monitor and the monitor power cord.