Burger emergencies are serious!
I'm most likely to go to Sonic, but not because of the burgers. (I love their drinks!) Or McDonalds for chicken nuggest. But I think Burger King burgers are the best of your options. Jack in the Box uses the same broiler for grilling as Burger King, but then has really good sourdough burgers which I prefer to BK burgers. I'm not a huge burger fan in general, though.
I actually prefer homemade veggie burgers, made as they come in the box! (And I'm a total carnivore!)