Most Middle Eastern oil imported into the US comes from Saudia Arabia. 5 major companies that import this oil are: Shell, Chevron/Texaco, Exxon/Mobil, Marathon/Speedway, and Amoco.
US oil companies rely heavily on imports from the middle east and Venezuela. There is no oil company as yet that gets the majority of its supply domestically.
Most oil companies import oil from the middle east. The easier question is what companies do not import oil from the middle east. This list is much shorter and includes Sunoco among a few others.
The following companies import oil from the Middle East to varying degrees: Amaco, Shell, Chevron/Texaco, Exxon/Mobile and Marathon/Speedway. This amounts to over $18 billion.