Over the years of their existence, the gods have made countless enemies. There were some mortal creatures who dared to defy the gods and lived to tell the tale. As much as Thor would want to claim that the giants had been completely eradicated, Arnold knew that was not the truth.
Far from it. The Asgardians might have killed the frost giants, but frost giants weren't the only types of giants. As far as Arnold could recall, there were at least four more types of giants. The fire giants, wood giants, stone giants and Aqua Giants.
Just like the giants weren't the only problems gods had to handle, the same was true for the giants as well. While their prime enemies were the gods, which go without a saying, the giants often had quite a war amongst themselves as well.