The LCD TV is a fantastic product. LCD stands for Liquid Crystal Display. It is actually two (or more) sheets of glass that are bonded together with a seal around the edges. The inside between the two layers of glass is filled with the "liquid" part of the liquid crystal display.
They are a complicated structure with scratch marks aligned a particular way inside. They have front and rear polarizing films and a semi reflective film behind all of that called the transflector.
This complicated system is designed such at rest the liquid lets ligh to either enter and bounce off the rear transflector and come back out or backlighting if it is on to shine light through the display.
Further each pixel when it has an electrical charge put across it will cause the dipole molecules inside the liquid to rotate and cause the light to be blocked causing a dark pixel. If it were a black and white TV it would just be a black pixel, but with the color TV it could be a red, green or blue pixel to make up the full color pallet.
On top of all this magic the screen has to be refreshed by scanning the lines of the picture. The LCD by nature wants to FREEZE in a position and not change so it is designed to scan all the lines and keep everything moving.
All of this is an extreme oversimplification and the point is simply this. The LCD TV is a modern technological miracle that is derived from years of design growth and modifications until these wonderful products were achieved.
They ARE glass and can be broken without too much difficulty. But with normal care that you would give a simple piece of art hanging on the wall glass breakage should not be a problem.
LCD televisions (as any television) should be protected from transients and other power line problems. A surge suppressing outlet box is a wise investment.