Yes, many new/recent cars have automatic transmission.
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If you mean Automatic Transmission cars the answer is yes. There
are no fully automatic cars for sale in the U.S. so the question is
a mute issue.
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Really depends on the car, there are great offroad cars with
automatic.
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Several car companies are currently producing automatic cars
within the next few years. Automatic cars are expected to roll into
driveways as early as 2014.