system
Given the following post, respond as if you're commenting on Reddit:
human
[Fallout 4] How come pre war world had no colored TVs?

I mean, colored TVs have been around since the 60s or so, and I'm pretty sure a society that has nuclear powered everything would eventually invent a colored TV to the masses. And I can't think of a read on for why the populace wouldn't want something like that.
gpt
In 1947, the Transistor was invented.

The transistor is to modern electronics what the wheel is to transportation. Pretty much every device you use today has a transistor in it and it is credited with having caused a technological revolution on par with fire in terms of importance in the history of the human species.

In Fallout, the Transistor wasn't invented in 1947 which had all sorts of knock on effects in terms of technological development, including the lack of colour TV's. 

By the time the Transistor was developed in 2067, the world was already circling the toilet and nobody got around developing a cheap colour TV for the masses.

EDIT: Colour film probably existed though, and so it's entirely possible that the silver screens of America actively suppressed technological progress in home entertainment, akin to how the petroleum industry suppressed the development of the electric car in our world.