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Night of the Comet (1984)
(feddit.nl)
THEY CAME. THEY SHOPPED. THEY SAVED THE WORLD!
Two girls from the Valley wake up to find that a passing comet has eradicated their world and left behind a mysterious red-dust and a pack of cannibal mutants. With the help of a friendly truck driver, the girls save the earth from a villainous "think tank," karate chop their way through flesh-eating zombies, and, of course, find time to go to the mall.
Loved this movie when it came out too, though I'm pretty sure the car was a BMW convertible or some such. Not as cool as an 80s Countach, but not too shabby..! The 4k release is on my list of must score discs.