Batteries - everybody knows that the voltage drops in cold weather. This is of course big issue in the electric cars, but is an issue with a gas cars too. Bellow -20C, you will start to feel that it's harder to start a car, even with rather fresh battery.
Car door handles, what the hell is this problem? You need to lube door handles and door rubber gaskets (sorry if terminology is wrong) for probably every car if you do not want to have _any_ trouble in seriously cold weather. Stickier door handles or door freezing to the car's body is usual occurrence for me every single winter.