outside of the D concourse there is Famiglia Pizza, Wendy's, Au Bon Pain, Dunkin Doughnuts. Behind the ticket counters (on your way towards the C Concourse, there is a NYC Sports Bar, and another bar type place (jet Rock) with great food.
Inside both D and C concourses there really aren't any places to eat. Auntie Ann's Pretzels, Au Bon Pain, small deli with extremely expensive sandwiches.
There is a food court past the C concourse that you have to go down an elevator to visit. I think there is another Famiglia's Pizza, Chinese, A Deli, and a sit down place.
No Burger King in this concourse at all.