Are Christians bound to the laws of their country?

Clearly not all governments are based on Christian principles. Should Christians be bound to obey the civil laws of their respective countries (states, cities, whatever) even if they disagree with the basis for the laws? Please answer in general about how Christians fit into civil law and worldly authority structures, but feel free to use specific examples if they help to clarify. For example, do we have to pay fines, obey speed limits or submit to curfews?