I remember back in November, a DHL flight going to Baghdad (from Amman) had a near-miss with a missile fired from the ground near Baghdad Airport. As a result, newspapers wrote about the incident plus mentioning that another airline also serves Baghdad regularly.
Part of that news was:
Royal Jordanian, the parent company of Royal Wings, said it was halting its flights between Baghdad and Amman until at least Wednesday.
"After November 25, the company will decide if it will restart its flights to Baghdad or not," an official said.
The three-month-old service, which became daily this month, was open only to journalists, businessmen, aid workers, coalition officials and members of the interim Governing Council but provided an important link to the outside world as the coalition tries to rebuild the war-ravaged country.
Otherwise, business people, as Qlguy24 correctly stated, are flying normal commercial flights to KWI and, from there, their local contacts in Kuwait arrange a ride (via land) to the Kuwaiti/Iraqi border. Basra isn't too far away from the borders and thus a car-trip isn't seen as much of an ordeal with the exception of safety once you cross the borders and head inland into Iraq.
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