EFU, Adamjee and Askari are well reputed companies and my experience says Askari is the best especially in claims and rate, they offered me comprehensive car policy at a very nominal rate covering all types of loses and even the third party liability.. One of my car has Askari tracker as well, they dont depend on others in this regard...
If anyone wants expert opinion let me know, my friend worked in this sector for quite a time and knows all the details...