Cars too. These are pretty big trains though, don't fit through normal bridges.
The auto trains that go across Europe are much narrower and take a lot longer to load and unload. They are pretty expensive and only used for very long distances. Most of the time it makes more sense to rent a car at your destination.
With Eurotunnel Shuttle services you drive on with a road vehicle, remain with the vehicle for the transit and then drive off at the other terminal. Europorte runs freight operations through the tunnel. Finally Eurostar is the pure passenger service running the likes of London to Paris.