First off: the metal frame (and probably white layer) is
suppose to be removed.
It's always better to have complete instructions when stripping an LCD, but without them it's still actually pretty easy.
Most important: don't electrocute yourself
Second most important: don't break the LCD beyond repair
This means...
unplug it first
capacitors are the most dangerous thing in there, be careful of them: they can hold a charge for a long time after the power is disconnected
don't cross any wires!
don't make contact with 2 different parts of the circuit board with anything metal (don't set the circuit board down on anything that's metal (like a screw) - if you're work bench/table is metal, take the LCD apart on the floor)
When you're taking apart the LCD you'll
remove all screws and remove everything those screws held down
take off everything that is solid metal of substantial size (pretty much as long as you don't pry the copper from the circuit boards you're good)
anything that can fall off once you remove the screws/metal isn't needed (like the plastic layers behind the LCD)
Things that are glued down are a little trickier...
if it's holding on a piece of metal (like the frame): remove it <- this is common on the outside of the LCD assembly
if it's clear plastic: remove it (another way to put this: if it's glorified scotch tape: remove it)
if it's some kind of sticky foam: remove it
if it's small and isn't blocking the LCD: leave it alone
Wires/cables
Almost every cable I've seen inside an electronic device can be unplugged and plugged back in without damaging the circuit boards or the wire. Some are a little trickier than others. If there is a relatively large, plastic rectangular
thing at the end of the wire it's probably possible to unplug it. If there's no plastic thing be careful, if you damage that connection it's unlikely you'll ever fix it.
Norlander over here has a pretty good looking list of strip logs (from 2004 no less). I checked out a few (starting from the top), this one is very thorough...
Liquid Video 1512 Teardown (Thanks AGAIN Ookpic)