In the first example, you're creating an ArrayList instance. In the latter you're creating instance of an anonymous subclass of ArrayList. Usually you would override one or more methods in the subclass, otherwise there's not much point in creating such. As John Skeet points out, there is one hacky reason to create an anonymous subclass of a generic type, see his answer.
The Eclipse warns that, in order to adhere to the Serializable specifications (ArrayList is Serializable, so all its subclasses are too), you should define an unique serialVersionUID in the subclass from which the deserialization process can ensure that the class definition has not changed significantly since it was serialized (significantly == you yourself have decided that the new definition is incompatible with the old one, so you can express the fact by changing the serialVersionUID). If you're never going to serialize the list, then the warning doesn't matter.