Are there different levels of car insurance?

The basic level of car insurance is Third Party Only. This covers you for any damage or injury to other people and their property. It does not cover you or your car at all.
The next level is Third Party, Fire and Theft. This covers other people and your car in the event of 'fire or theft'. Quite self explanatory.
But the top level, the level all driving instructors must have, is comprehensive car insurance. This covers you for any and all damage to your car, yourself and other people. Assuming the insurance company can't find a way of wriggling out of payment!