I honestly don't see the drama in most European cities, it's not like in NYC. Street parking is very limited in bigger cities, so you might need to park in expensive parking garages. Or use other methods of travel.
Only in areas with a lot of old houses (built before cars were a thing) there might be a lack of garages.
Owning/driving a car is generally very expensive in many European countries. Not like in the US where wages are rather high, but cars and gas extremely cheap, because there is no substantial tax on them.
Edit: this might not apply to southern Europe. In some southern European cities it's impossible to go by car. That's why everyone drives a scooter.