Cimorene

Oh, yeah, they're designed to break in five years! It's so annoying.

A birdie-beak would snip through chicken wire like thread; your TV might last an extra two weeks behind chicken wire, but I don't like its chances. :D Unless you wanna put your TV in the birdcage you're not using, with solid quarter-inch bars, I don't think anything short of a solid sheet of glass (or maaaybe thick plexi? But if the corners are exposed I think that would eventually get gnawed to the point where it's hard to see through due to scratches or cracks) is going to save it.

Maybe some kind of anti-glare coating could be applied to the glass? Or hanging blackout curtains in the room to block any glare sources? (You'd have to watch in the dark! Which actually might discourage the bird from wanting to be in there, or make him a little calmer? Hmm...)