You might be only talking about personal cars, but you've got to remember that trucks share the same infrastructure cars use. Modern city wealth wouldn't be possible without engined vehicles driving on roads (maybe if you went really crazy with rail that could be exception). You take away personal cars and either the infrastructure stays or your city wouldn't be possible anymore either.
But even beyond that - personal cars provide a level of freedom and capability to the general population that no other technology can match. Trains suck, buses suck, passenger ships suck, planes are uncomfortable (but otherwise pretty good). Bikes don't work with long distances, multiple people, the infirm, winter (riding in the winter is a great way to get injured, two-wheeled vehicles don't do well with ice), bad weather, if you need to be presentable when you arrive. Oh, and bikes get stolen. Constantly.