You cant do this with a normal lcd screen they are all like that, it's not just the polarized filters that you are fighting with, the lcd pixels them self are fairly restrictive in how much light they will pass. The only thing i can think of is an organic led screen but then i dont know if they are transparent, they emit there own light but they are still quite expensive. I think there are panels that pass more light but nothing i have seen in consumer lcd tv's would work, the darker screens i believe improve the contrast of the image and the only lcd screens that i have seen that are relatively transparent where on a type of wearable device, sony in the past had a system called glasstron that had transparent lcd screens.
Remember Remember The 8th of November, When No One Stood, but Kneel, In Surrender
In a popular government when the laws have ceased to be executed, as this can come only from the corruption of the republic, the state is already lost. Montesquieu