In general (and in Java) an array is a data structure generally consisting of sequential memory storing a collection of objects.
List is an interface in Java, which means that it may have multiple implementations. One of these implementations is ArrayList, which is a class that implements the behavior of the List interface using arrays as the data structure.
There are a number of other classes that implement the List interface. One easy way to take a look at them is by viewing the Javadoc for List: http://docs.oracle.com/javase/6/docs/api/java/util/List.html
On that page, you'll see "all known implementing classes," which are all of the kinds of lists in Java.
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