Answer:
A lizard is an animal but doesn't have fur.
Explanation:
A counterexample would be to give an example of an animal that doesn't have fur. So the premise is met: there is a clear example of what one considers an animal, but the animal doesn't have fur.
For example a lizard is clearly an animal, but it doesn't have fur around its body. One needs to just find one example that negates the given statement to make it false.