There are loads of shipping lines, forwarders and couriers, below are the top Multinational compaines in each field :
Shipping Line : APL , PIL, Maersk , CMA , Evergreen , MSC , China Shipping & Norasia
Forwarders : kuehne + nagel , Expeditors , UTI , Schenker , Damco, DHL , Panalpina & DSV
Couriers ( Express & Cargo ) : UPS , Fedex , DHL , TNT
you can check the internet for your country office
If we talk about SHIPPING COMPANIES belong to middle eastern countries who own ships, than would say very few like UASC, EMIRATES, NSCSA, IRISL (HDS line) some smaller feeders etc.
I think their is a lot good shipping companies in every countries. It is good to ship direct from the shipping line for containerized cargoes and for loose cargoes to the freight forwarder for the freight charge purposes..