Насчет постапокалиптических мультиков (speaking of postapocalyptic cartoons), I hope everyone has seen Будет ласковый дождь, an absolutely outstanding 1984 Soviet animation based on the 1950 short story "There Will Come Soft Rains" by Ray Bradbury. (Bradbury's title, in turn, came from a 1920 anti-war poem by Sara Teasdale.)
Anyway, in the cartoon, all the humans are dead but the buildings are mostly intact (possibly a reference to a neutron bomb?) and the only living creature seen is a bird that tries to shelter inside a still-functional "robot house" that automatically continues to make breakfast, do the laundry, vacuum the floor, etc.
Arguably, the Soviet adaption does introduce some "political spin" that's different from the original. Bradbury was an American author writing in an American magazine for a mostly American audience, and the story is set in the post-WW3 remains of a futuristic California suburban town -- because Bradbury wanted his anti-nuclear story to have a maximum psychological impact on Americans, warning them against any delusions that WW3 will be limited and survivable.
The cartoon version by "Узбекфильм" studios, crucially, retains the suburban-California setting of the original (instead of relocating it to, say, the reuins of a futuristic Odessa suburb!), and therefore the cartoon-skeletons that Soviet audiences saw crumbling to dust are the bodies of dead Americans, rather than dead Soviets. However, this isn't simply a case of the director trying to be completely faithful to the source, because the cartoon also adds some elements NOT found in Bradbury's story, such as a laser-shooting "Automatic Defense Robot" and a robotic "cuckoo clock" that plays the US national anthem and waves a little US flag (those damned American capitalists -- warmongers and jingoists to the end!).
So, there is a little bit of "Soviet propaganda" in the cartoon adaptation (just as the 1955 remake of "Peace on Earth" added some "religious propaganda"), but with that caveat in mind, it's still a must-watch.