I read this in the early to mid 80's. It was a textbook sized hardcover anthology with color illustrations throughout. Each story had a few images, some were full page illustrations.
The particular story I remember the most involved Earth survivors living underground. Robots controlled the war from the surface. A teenage girl and boy decided to sneak away to the surface as no one had been up there in a long time.
The kids discover greenery and a healthy environment, with rusted robot guardians. The robots had been keeping the humans fooled that the war was still going on, and had kept them under the surface. Mars had been wiped out from nearly the first volleys of missiles.
The robots judge the teenagers as worthy and let them remain on the surface. The kids had silver jumpsuits that dissolved when they got wet.
The robot illustrations were blocky, almost weathered stone-like statues. They had nearly spherical feet and square simple heads. The faces had eyes and simple mouths.
-edit- The robots were similar in shape to the one in this picture, but smoother, and no arms. The illustrations with them had the robots being several stories tall. I kind of remember that the kids emerged from the belly of one or something like that.